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Journal articles on the topic 'Common fixed point theorem'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Prajisha, E., and P. Shaini. "Common fixed point and common coupled fixed point theorems for weakly monotone mappings." Boletim da Sociedade Paranaense de Matemática 42 (May 3, 2024): 1–10. http://dx.doi.org/10.5269/bspm.62992.

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In this paper we have established two common fixed point theorems which are variants of the fixed point theorem of Boyd and Wong [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969), 458-464]. By applying the newly established fixed point theorems two common coupled fixed point theorems have been proved for a pair of weakly increasing mappings. Examples are given to substantiate our theorems.

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2

Ume, Jeong Sheok, and Jong Kyu Kim. "Common fixed point theorems for two mappings satisfying some conditions." Bulletin of the Australian Mathematical Society 62, no. 1 (2000): 75–85. http://dx.doi.org/10.1017/s0004972700018499.

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In this paper, using the concept of w-distance, we first prove common fixed point theorems in a complete metric space. Then these theorems are used to improve Kannan's fixed point theorem, Ćirić's fixed point theorem, Kada, Suzuki and Takahashi's fixed point theorem and Ume's fixed point theorem.

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3

Du, Wei-Shih. "The Existence of Cone Critical Point and Common Fixed Point with Applications." Journal of Applied Mathematics 2011 (2011): 1–22. http://dx.doi.org/10.1155/2011/985797.

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We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem. We also obtain some fixed point theorems for weakly contractive maps in the setting of cone metric spaces and focus our research on the equivalence between scala

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4

Singh, Dr Dhirendra Kumar, and Sandhya Singh. "FIXED POINT AND COMMON FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS FOR BANACH SPACE." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 10, no. 12 (2022): 3090–92. http://dx.doi.org/10.47191/ijmcr/v10i12.15.

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In this Paper we will investigate some fixed point and common fixed point theorem for multivalued mappings of Banach space. We show that an extended form of many Known results taking multivalued mappings and inequities. The general form of a result proved by Banach Space and Convergence for multivalued mappings in fixed point and common fixed point which contains new generalized form of Theorem.

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5

Satyaj, Tiwari, and Kumar Dewangan Lokesh. "Fixed Point and Common Fixed Point Theorems for Single Valued and Multivalued Mappings in Partial b-Metric Spaces." Indian Journal of Science and Technology 17, no. 1 (2024): 59–64. https://doi.org/10.17485/IJST/v17i1.2853.

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Abstract <strong>Objectives:</strong> To prove some fixed point theorems and common fixed point theorems by using partial b-metric spaces. <strong>Methods:</strong> Ciric type contraction for single-valued mapping is also used to prove fixed point theorem and Nadler's type Banach contraction is used to produce fixed point and common fixed point theorems. <strong>Findings:</strong> We have to find fixed point and common fixed point theorems for single valued mapping and a fixed point theorem for multivalued mapping. <strong>Novelty :</strong> We have to use a

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6

Satish, Shukla¬1 &. Shweta Rai2. "COINCIDENCE POINT AND COMMON FIXED POINT FOR WEAKLY COMPATIBLE MAPPINGS IN METRIC SPACES." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES [FRTSSDS- June 2018] (June 20, 2018): 131–36. https://doi.org/10.5281/zenodo.1293825.

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Recently, Jaroslaw Gornicki(Fixed Point Theorem and  Appl. 2017:9, 2017) introduced a new concept of -expansion mappings and proved a fixed point theorem for such mappings. Following this direction of research, in this paper, some coincidence point and common fixed point theorems has been proved for weakly compatible -expanding mappings.

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7

Taş, Kenan, Mustafa Telci, and Brian Fisher. "Common fixed point theorems for compatible mappings." International Journal of Mathematics and Mathematical Sciences 19, no. 3 (1996): 451–56. http://dx.doi.org/10.1155/s0161171296000646.

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By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.

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8

Fisher, Brian. "A common fixed point theorem." Publicationes Mathematicae Debrecen 32, no. 1-2 (2022): 73–74. http://dx.doi.org/10.5486/pmd.1985.32.1-2.09.

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9

Thangaraj, Beaula #. "Some Common Fixed Point Results in 2-Fuzzy 2-Rectangular Metric Spaces." Mathematical statistics and engineering applications 71, no. 4 (2022): 932–40. https://doi.org/10.5281/zenodo.7505253.

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The concept of fuzzy set was introduced by L.A.Zadeh(1965) [10] in his seminal paper. Shen et al.(2012)[8] introduced the notion of control function of fuzzy metric spaces. Nagoor Gani and Mohamed Althaf (2018)[5] established some results on fixed point theorem by using control function. Bose and Sahani (1987)[1] have studied the fixed point theorem for fuzzy mapping coincidence points. Fang (1992) [2] developed fixed point theorems for different types of mapping. Soni (2018)[7] came with a new class of implict function to prove the concept of fixed point theorems in fuzzy metric space and its

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10

Bouzkoura, Khadija, and Said Benkaddour. "Some Common Fixed Point Theorems in Partially Ordered Sets." Journal of Applied Mathematics 2020 (October 21, 2020): 1–5. http://dx.doi.org/10.1155/2020/4707962.

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The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.

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11

Rahman, Ashfaque Ur, K. Qureshi, and Geeta Modi. "Fixed Point Theorem and Common Fixed Point Theorem in Cone Metric Spaces." Journal of Computer and Mathematical Sciences 10, no. 7 (2019): 1450–59. http://dx.doi.org/10.29055/jcms/1134.

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12

Chiranjeevi Perala. "Common fixed point theorems for weakly compatible mappings in Multiplicative Metric Space." Communications on Applied Nonlinear Analysis 31, no. 7s (2024): 506–21. http://dx.doi.org/10.52783/cana.v31.1393.

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The aim of this paper is to establish three common fixed point theorems in Multiplicative Metric Space (MMS). By utilizing the conditions concepts of non-continuous and non-compatible mappings.The first theoem is generated by applying the concepts of semi-compatible mapping, WCM and reciprocally continuous mappings.The second theorem is established by using the concepts of strongly semi compatible mappings,conditionally reciprocally continuous mappings and and OWC mappings. These conditions are weaker than the existing conditions like compatible mappings and cotinuous which generalizes the the

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13

Sunita Soni. "Common Fixed Point Theorems in Bipolar Metric Spaces." International Journal of Science and Research Archive 9, no. 1 (2023): 741–46. http://dx.doi.org/10.30574/ijsra.2023.9.1.0713.

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In this paper, a common fixed point theorem for generalized contractions in bipolar metric spaces is proved. Additionally, these theorems expand and apply a number of intriguing findings from metric fixed point theory to the bipolar metric setting. I also provide a few instances to illustrate my theorems.

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14

El Harrak, Meryeme, and Ahmed Hajji. "A New Common Fixed Point Theorem for Three Commuting Mappings." Axioms 9, no. 3 (2020): 105. http://dx.doi.org/10.3390/axioms9030105.

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In the present paper, we propose a common fixed point theorem for three commuting mappings via a new contractive condition which generalizes fixed point theorems of Darbo, Hajji and Aghajani et al. An application is also given to illustrate our main result. Moreover, several consequences are derived, which are generalizations of Darbo’s fixed point theorem and a Hajji’s result.

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15

Singh, M. P., and R. Yumnam. "Common Fixed Points of Compatible Mappings." Journal of Scientific Research 4, no. 3 (2012): 603–8. http://dx.doi.org/10.3329/jsr.v4i3.10567.

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In this paper we prove two common fixed point theorems by considering four mappings in complete metric space. In the first theorem we consider two pairs of compatible mappings of type (A) and in the second theorem we consider two pairs of compatible mappings of type (B). Our results modify and extend some earlier results in the literature.© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v4i3.10567 J. Sci. Res. 4 (3), 603-608 (2012)

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16

Kondo, Atsumasa. "Generalized common fixed point theorem for generalized hybrid mappings in Hilbert spaces." Demonstratio Mathematica 55, no. 1 (2022): 752–59. http://dx.doi.org/10.1515/dema-2022-0167.

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Abstract In this article, we prove a common fixed point theorem for commutative nonlinear mappings that jointly satisfy a certain condition. From the main theorem, a common fixed point theorem for commutative generalized hybrid mappings is derived as a special case. Our novel approach significantly expands the applicable range of mappings for well-known fixed point theorems to be effective. Examples are presented to explicitly illustrate this contribution.

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17

Hosseini Farahi, Masoomeh, Mahmoud Hassani, and Reza Allahyari. "A NOTE ON THE GENERALIZED CONTRACTION CLASSES AND COMMON FIXED POINTS IN NORMED SPACES." Journal of Inequalities and Special Functions 14, no. 2 (2023): 1–12. https://doi.org/10.54379/jiasf-2023-2-1.

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18

V.Nagaraju. "Common Fixed Point Theorems for Six Self-Maps in G-Metric Spaces." Annals of Pure and Applied Mathematics 22, no. 01 (2020): 57–64. http://dx.doi.org/10.22457/apam.v22n1a08690.

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In this paper, we define generalized weakly contractive mappings and prove two common fixed point theorems for six self maps in G-metric spaces. Using the notions of common limit in the range property and weakly compatibility, the first theorem is proved whereas occasionally weakly compatibility is used in the second theorem. We also deduce some common fixed point theorems for four self maps. Our results improve and extend some metric fixed point results in the literature.

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19

Jojar, Godavari, Uttam Dolhare, Sachin Basude, and Nitin Darkunde. "Some Unique Fixed Point Theorems on Complete Metric Space with Upper Semi Continuous Mapping." Asian Journal of Mathematics and Computer Research 31, no. 3 (2024): 20–26. http://dx.doi.org/10.56557/ajomcor/2024/v31i38781.

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In the present article, we have proved two common fixed point theorems (FPT) for complete metric space (CMS) with the help of upper semi-continuous function along with the existence and uniqueness of fixed point. These results are the generalizations of the well-known theorems Kannan fixed point theorem (KFPT) and Chatterjea fixed point theorem (CFPT) in the existed literature. The KFPT and CFPT are the generalizations of Banach fixed point theorem (BFPT).

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20

Bisht, Ravindra K. "On common fixed points of a sequence of mappings." Asian-European Journal of Mathematics 09, no. 03 (2016): 1650060. http://dx.doi.org/10.1142/s1793557116500601.

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The aim of this paper is to obtain a fixed point theorem for a sequence of mappings satisfying a Lipschitz type condition. As compared to the analogous results, some mappings of the present theorem need not satisfy any noncommutativity conditions and therefore our results generalize a number of well-known fixed point theorems in the existing literature.

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21

Karapınar, Erdal, Nabi Shobkolaei, Shaban Sedghi, and Mansour Vaezpour. "A common fixed point theorem for cyclic operators on partial metric spaces." Filomat 26, no. 2 (2012): 407–14. http://dx.doi.org/10.2298/fil1202407k.

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In this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.

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22

Shukla, Rahul, and Rajendra Pant. "Fixed point results for nonlinear contractions with application to integral equations." Asian-European Journal of Mathematics 12, no. 07 (2019): 2050007. http://dx.doi.org/10.1142/s1793557120500072.

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We present a number of fixed and common fixed point theorems for a class of nonlinear contractions in metric spaces and metric spaces endowed with graphs. Our results complement, extend and generalize a number of fixed point theorems including a recent fixed point theorem of Kim et al. [Suzuki-type of common fixed theorem in metric spaces, J. Nonlinear Convex Anal. 16 (2015) 1779–1786]. We also discuss an application to a system of integral equations.

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23

N. Chandra, Bharti Joshi, M. C. Arya, and Mahesh C. Joshi. "A COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS." Jnanabha, no. 02 (2021): 274–80. http://dx.doi.org/10.58250/jnanabha.2021.51234.

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The aim of the paper is to obtain a common fixed point theorem for a (ψ, φ)-weak contraction under a generalized rational type condition in a complete metric space. Our result generalizes many well known theorems of literature

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24

., Savitri, and Nawneet Hooda. "COMMON FIXED POINT THEOREM FOR MAPPINGS SATISFYING (CLRG) PROPERTY." Mathematical Journal of Interdisciplinary Sciences 4, no. 1 (2015): 65–75. http://dx.doi.org/10.15415/mjis.2015.41007.

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25

Chauhan, Sunny, M. Alamgir Khan, and Wutiphol Sintunavarat. "Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property." Abstract and Applied Analysis 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/735217.

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The objective of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in fuzzy metric spaces. Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. We derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. As an application to our main result, we prove an integral-type fixed point theorem in fuzzy metric space. Our results improve and extend

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26

Ishtiaq, Umar, Khaleel Ahmad, Muhammad Imran Asjad, Farhan Ali, and Fahd Jarad. "Common fixed point, Baire's and Cantor's theorems in neutrosophic 2-metric spaces." AIMS Mathematics 8, no. 2 (2022): 2532–55. http://dx.doi.org/10.3934/math.2023131.

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<abstract> <p>These fundamental Theorems of classical analysis, namely Baire's Theorem and Cantor's Intersection Theorem in the context of Neutrosophic 2-metric spaces, are demonstrated in this article. Naschie discussed high energy physics in relation to the Baire's Theorem and the Cantor space in descriptive set theory. We describe, how to demonstrate the validity and uniqueness of the common fixed-point theorem for four mappings in Neutrosophic 2-metric spaces.</p> </abstract>

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27

Dr., Dhirendra Kumar Singh, and Singh Sandhya. "FIXED POINT AND COMMON FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS FOR BANACH SPACE." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 10, no. 12 (2022): 3090–92. https://doi.org/10.5281/zenodo.7484000.

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In this Paper we will investigate some fixed point and common fixed point theorem for multivalued mappings of Banach space. We show that an extended form of many Known results taking multivalued mappings and inequities. The general form of a result proved by Banach Space and Convergence for multivalued mappings in fixed point and common fixed point which contains new generalized form of Theorem.

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28

Tejal, Gore1 Rohini Gore*2. "Common Fixed Point Theorems In G-Metric Spaces for Weakly Mapping by Using Contraction Condition." International Journal of Scientific Research and Technology 2, no. 3 (2025): 86–89. https://doi.org/10.5281/zenodo.14959503.

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In this paper, we studied common fixed point theorems in G-metric spaces. We establish several fixed point theorems for single and multi-valued mappings in G-metric spaces, including Banach, Kannan, Chatterjea type contractions. The main result is fixed point theorem in compact G- metric spaces for weakly mapping by using contraction condition. Our results provide a unified framework for studying the existence and uniqueness of fixed points in G-metric spaces, and have applications in various fields such as mathematics, physics, and engineering.

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29

SINGH, YASHVIR. "Common Fixed Point Theorems in Fuzzy Metric Space." Journal of Ultra Scientist of Physical Sciences Section B 33, no. 4 (2021): 26–29. http://dx.doi.org/10.22147/jusps-b/330403.

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In the present paper we prove common fixed point theorem for occasionally weakly compatible mapping in fuzzy metric space. The theorem is a version of many fixed point theorem in fuzzy metric spaces, given by many authors announced in the literature.

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30

Pant, R. P., Vladimir Rakočević, Dhananjay Gopal, and Bharti Joshi. "A new approach to metrical fixed point theorems." Mathematica Slovaca 75, no. 2 (2025): 369–80. https://doi.org/10.1515/ms-2025-0028.

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Abstract In this paper, we present new conditions yielding a unique fixed point for non expansive type mappings. We also obtain common fixed point theorems for mappings that not necessarily satisfy any known contractive type conditions. Since general methods for studying common fixed points of non-contractive mappings are not available, our present findings provides a new tools in this direction. Moreover, a common fixed point theorem is used to demonstrate in solving nonlinear integral equation problem.

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31

Suzuki, Tomonari. "Common fixed points of two nonexpansive mappings in Banach spaces." Bulletin of the Australian Mathematical Society 69, no. 1 (2004): 1–18. http://dx.doi.org/10.1017/s0004972700034213.

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In this paper, we discuss a necessary and sufficient condition for common fixed points of two nonexpansive mappings. We then prove a convergence theorem to a common fixed point. Finally, we discuss the existence of a nonexpansive retraction onto the set of common fixed points of nonexpansive mappings. In these theorems, we do not assume the strict (uniform) convexity of the norm of the Banach space.

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32

Kondo, Atsumasa. "A generalization of the common fixed point theorem for normally 2-generalized hybrid mappings in Hilbert spaces." Filomat 37, no. 26 (2023): 9051–62. http://dx.doi.org/10.2298/fil2326051k.

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In this paper, we prove a common fixed point theorem for commutative nonlinear mappings that jointly satisfy a certain condition. A required condition is given as a convex combination of those of a well-known class of nonlinear mappings. From the main theorem of this paper, the common fixed point theorem for nonexpansive mappings, generalized hybrid mappings, and normally 2-generalized hybrid mappings are uniformly derived as corollaries. Our approach expands the applicable range of mappings for existing fixed point theorems to be effective. Using specific mappings, we illustrate the effective

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33

Bisht, R. K. "Common Fixed Points of Generalized Meir-Keeler Type Condition and Nonexpansive Mappings." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/786814.

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The aim of the present paper is to obtain common fixed point theorems by employing the recently introduced notion of weak reciprocal continuity. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. We demonstrate that weak reciprocal continuity ensures the existence of common fixed points under contractive conditions, which otherwise do not ensure the existence of fixed points. Our results generalize and extend Banach contraction principle and Meir-Keeler-type fixed point theorem.

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34

Zhao, Junjian, and Wei-Shih Du. "New Generalized Ekeland’s Variational Principle, Critical Point Theorems and Common Fuzzy Fixed Point Theorems Induced by Lin-Du’s Abstract Maximal Element Principle." Axioms 10, no. 1 (2021): 11. http://dx.doi.org/10.3390/axioms10010011.

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In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, maximal element theorem, generalized Ekeland’s variational principle and common (fuzzy) fixed point theorem for essential distances.

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35

Rathore, Raghavendra, and Rekha Agrawal. "Common Tripled Fixed Point Theorem on M- Fuzzy Metric Space for Occasionally Weakly Compatible Mappings." Pure and Applied Mathematics Journal 13, no. 5 (2024): 66–71. http://dx.doi.org/10.11648/j.pamj.20241305.11.

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The fixed point theorems, which are primarily existential in nature, serve as a fundamental topological toolkit for the qualitative analysis of solutions to both linear and nonlinear equations in various branches of mathematics. Many authors have extended and generalized these results in different ways, particularly in the context of fuzzy metric spaces and fuzzy mappings. Numerous researchers have also proved common fixed point theorems under the condition of compatible mappings for fizzy metric spaces. Coupled common fixed point theorems for fuzzy metric spaces with the condition of weakly c

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36

Zheng, Famei, and Xiuguo Lian. "Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces." Abstract and Applied Analysis 2012 (2012): 1–5. http://dx.doi.org/10.1155/2012/729758.

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37

Sami Abdullah Abed. "New Fixed Point Theorem for Expansive Maps on a Two – Metric Space." Academic Science Journal 2, no. 2 (2024): 274–84. http://dx.doi.org/10.24237/asj.02.01.759a.

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In this paper new theorems a bout fixed point are given for applications in 2- metric space. The common fixed points of two operators exhibit a shared periodicity in their occurrences. The theorem demonstrates that, certain conditions, there exists a specific pattern or sequence of operators where the fixed points exhibit a common periodicity.

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38

Ughade, Manoj, Deepak Singh, and Sheetal Yadav. "COMMON FIXED-POINTS OF RATIONAL CONTRACTIONS IN SUPERMETRIC SPACES." South East Asian Journal of Mathematics and Mathematical Sciences 20, no. 02 (2024): 333–46. https://doi.org/10.56827/seajmms.2024.2002.24.

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In this study, we prove a common fixed-point theorem for generalized rational-type contraction in supermetric space. Our findings expand the contractions of metric spaces to a supermetric space through Kannan's contraction, Reich’s contraction, and Dass-Gupta's rational contraction. These theorems also extend to the supermetric context and generalize many interesting results from metric fixed-point theory. Additionally, we provide an example to elucidate our theorems.

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39

Imdad, Mohammad, Anupam Sharma, and Sunny Chauhan. "Unifying a multitude of common fixed point theorems in symmetric spaces." Filomat 28, no. 6 (2014): 1113–32. http://dx.doi.org/10.2298/fil1406113i.

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The aim of this paper is to obtain some new common fixed point theorems for weakly compatible mappings in symmetric spaces satisfying an implicit function. Some illustrative examples to highlight the realized improvements are furnished. Our results generalize and extend some recent results contained in Ali and Imdad [Sarajevo J. Math. 4(17)(2008), 269-285] to symmetric spaces and consequently a host of metrical common fixed theorems are generalized and improved. We state an integral type fixed point theorem in symmetric space. In the process, we also derive a fixed point result on common fixed

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40

Yeşilkaya, Seher Sultan, and Cafer Aydın. "Fixed Point Results of Expansive Mappings in Metric Spaces." Mathematics 8, no. 10 (2020): 1800. http://dx.doi.org/10.3390/math8101800.

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In this study, we introduce the concept of θ-expansive mapping in ordered metric spaces and prove a fixed point theorem for such mappings. We give some fixed point results for θ-expansive mapping in metric spaces and prove fixed point theorems for such mappings. These results extend the main results of many comparable results from the current literature. We also obtain a common fixed point theorem of two weakly compatible mappings in metric spaces. Finally, the examples are presented to support the new theorems and results proved.

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41

Roy, Kakali, and Kalishankar Tiwary. "COMMON FIXED POINT THEOREM FOR SIX MAPPINGS." South East Asian J. of Mathematics and Mathematical Sciences 18, no. 02 (2022): 229–44. http://dx.doi.org/10.56827/seajmms.2022.1802.21.

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42

V.Srinivas, V. Srinivas. "Analysis on a Common Fixed Point Theorem." IOSR Journal of Mathematics 5, no. 6 (2013): 1–4. http://dx.doi.org/10.9790/5728-0560104.

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43

Shrivastava, Rajesh. "Compatible Mapping and Common Fixed Point Theorem." IOSR Journal of Mathematics 7, no. 1 (2013): 46–48. http://dx.doi.org/10.9790/5728-0714648.

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44

Chandra, N., M. C. Arya, and Mahesh Joshi. "A Suzuki-type common fixed point theorem." Filomat 31, no. 10 (2017): 2951–56. http://dx.doi.org/10.2298/fil1710951c.

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45

Devi, Manju, and Surjeet Singh Chauhan. "A new generalized common fixed point theorem." Journal of Interdisciplinary Mathematics 27, no. 8 (2024): 1903–8. https://doi.org/10.47974/jim-2056.

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In this article, we extend a recent result of Chandra et al. [1] fortwo maps having a novel generalized contractive condition of the Suzuki typeon a complete metric space. We render an example to demonstrate that the results presented are generalizations of similar conclusions in the available literature.

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46

Ali, Muhammad Usman. "Mizoguchi–Takahashi’s type common fixed point theorem." Journal of the Egyptian Mathematical Society 22, no. 2 (2014): 272–74. http://dx.doi.org/10.1016/j.joems.2013.08.004.

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47

S, Ravi, and V. Srinivas V.Srinivas. "Common Fixed Point Theorem using E.A. Property." Journal of Computer and Mathematical Sciences 10, no. 2 (2019): 310–15. http://dx.doi.org/10.29055/jcms/1010.

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48

Agarwal, R. P., M. Balaj, and D. O’Regan. "A Common Fixed Point Theorem with Applications." Journal of Optimization Theory and Applications 163, no. 2 (2013): 482–90. http://dx.doi.org/10.1007/s10957-013-0490-6.

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49

Rajesh, Shrivastava*1 Arihant Jain2 &. Amit Kumar Gupta3. "COMMON FIXED POINT THEOREM USING IMPLICIT RELATION." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 6, no. 3 (2019): 110–16. https://doi.org/10.5281/zenodo.2610854.

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The object of this paper is to use the concept of compatible and reciprocal continuity of mappings and prove fixed point theorems for eight such mappings satisfying an implicit relation. We have also cited an example in support of our result.

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Singh, Shyam Lal, Swami Nath Mishra, Renu Chugh, and Raj Kamal. "General Common Fixed Point Theorems and Applications." Journal of Applied Mathematics 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/902312.

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Abstract:

The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result ofĐorić and Lazović (2011) for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction. Further, as a special case, we obtain a generalization of an important common fixed point theorem of Ćirić (1974). Existence of a common solution for a class of functional equations arising in dynamic programming is also discussed.

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