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Journal articles on the topic 'Common fixed point'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

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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2

Rishikant Agnihotri, Yashpal. "Some Generalized Fixed Point and Common Fixed Point Theorems in S-Metric Spaces." International Journal of Science and Research (IJSR) 12, no. 8 (2023): 1459–65. http://dx.doi.org/10.21275/mr23814114151.

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3

Patel, Ekta H., and G. M. Deheri. "Weak Reciprocal Continuity and Common Fixed Point Theorems." International Journal of Applied Physics and Mathematics 4, no. 3 (2014): 159–65. http://dx.doi.org/10.7763/ijapm.2014.v4.275.

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4

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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5

Eslamian, Mohammad. "Split common fixed point and common null point problem." Mathematical Methods in the Applied Sciences 40, no. 18 (2017): 7410–24. http://dx.doi.org/10.1002/mma.4537.

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6

Kaewcharoen, Anchalee. "Fixed point theorems related to some constants and common fixed points." Nonlinear Analysis: Hybrid Systems 4, no. 3 (2010): 389–94. http://dx.doi.org/10.1016/j.nahs.2009.10.001.

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7

Swatmaram and T. Phaneendra. "Common property (EA) and common fixed point." International Journal of Contemporary Mathematical Sciences 8 (2013): 705–8. http://dx.doi.org/10.12988/ijcms.2013.3676.

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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

., 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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10

Rani, Rashmi, and Rani Rani. "Common Fixed Point Theorems Using R-Weakly Commuting Mappings." International Journal of Trend in Scientific Research and Development Volume-2, Issue-5 (2018): 1516–20. http://dx.doi.org/10.31142/ijtsrd17120.

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11

Agrawal, Archana. "SOME FIXED POINT AND COMMON FIXED POINT RESULTS IN L- SPACES." International Journal of Advanced Research in Computer Science 9, no. 3 (2018): 253–57. http://dx.doi.org/10.26483/ijarcs.v9i3.6121.

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12

Tiwari, Satyaj, and Lokesh Kumar Dewangan. "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. http://dx.doi.org/10.17485/ijst/v17i1.2853.

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13

Pathak, Hemant Kumar, Shih Sen Chang, Yeol Je Cho, and Jong Soo Jung. "Common fixed point theorems and applications." International Journal of Mathematics and Mathematical Sciences 20, no. 1 (1997): 13–18. http://dx.doi.org/10.1155/s0161171297000033.

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The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented in this paper generalize some recent results.

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14

Liu, Zeqing, M. S. Khan, and H. K. Pathak. "On Common Fixed Points." gmj 9, no. 2 (2002): 325–30. http://dx.doi.org/10.1515/gmj.2002.325.

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15

Patil, Jayashree, Basel Hardan, and Amol Bachhav. "A Common Coincidence of Fixed Point for Generalized Caristi Fixed Point Theorem." Journal of Mathematical Analysis and Modeling 2, no. 1 (2021): 40–46. http://dx.doi.org/10.48185/jmam.v2i1.151.

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In this paper, the interpolative Caristi type weakly compatible contractive in a complete metric space is applied to show some common fixed points results related to such mappings. Our application shows that the function which is used to prove the obtained results is a bounded map. An example is provided to show the useability of the acquired results.

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16

Shukla, D. P., and Vivek Tiwari. "Some Fixed point and common Fixed point Theorems in 2- Banach Spaces." IOSR Journal of Mathematics 10, no. 6 (2014): 32–37. http://dx.doi.org/10.9790/5728-10633237.

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17

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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18

Choudhury, Binayak S., and N. Metiya. "Fixed point and common fixed point results in ordered cone metric spaces." Analele Universitatii "Ovidius" Constanta - Seria Matematica 20, no. 1 (2012): 55–72. http://dx.doi.org/10.2478/v10309-012-0005-8.

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AbstractIn this paper we establish some fixed point results for functions which satisfy certain weak contractive inequalities in partially ordered cone metric spaces. We have also given some illustrative examples. Our results are extension of some existing

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19

Altun, Ishak, Boško Damjanović, and Dragan Djorić. "Fixed point and common fixed point theorems on ordered cone metric spaces." Applied Mathematics Letters 23, no. 3 (2010): 310–16. http://dx.doi.org/10.1016/j.aml.2009.09.016.

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20

Heifetz, Aviad. "Iterative and fixed point common belief." Journal of Philosophical Logic 28, no. 1 (1999): 61–79. http://dx.doi.org/10.1023/a:1004357300525.

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21

Kraikaew, Rapeepan, and Satit Saejung. "On split common fixed point problems." Journal of Mathematical Analysis and Applications 415, no. 2 (2014): 513–24. http://dx.doi.org/10.1016/j.jmaa.2014.01.068.

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22

Jha, K., and R. P. Pant. "Common fixed point theorems by altering distances." Tamkang Journal of Mathematics 35, no. 2 (2004): 109–16. http://dx.doi.org/10.5556/j.tkjm.35.2004.212.

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23

Varalakshmi, K., та G. Upender Reddy. "Coupled Fixed Point Theorems In 𝐺𝐛 - Metric Space". Indian Journal Of Science And Technology 17, № 41 (2024): 4324–31. http://dx.doi.org/10.17485/ijst/v17i41.1433.

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Objective: The purpose of this research paper is to establish coupled common fixed-point theorems in Gb metric space. Methodology: By using integral type contractive conditions and weakly compatible mappings. Findings: Unique Common coupled fixed-point theorems are proved and two corollaries are stated. Also discussed is an example that supports our main result. Novelty: In this research paper we obtained common coupled fixed points by using integral type contractive conditions for given mappings in Gb metric space. These results extend the results of E. L. Ghasaba, H. Majania, G. Soleimani Ra

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24

BOUHADJERA, Hakima. "Unique common fixed points through a unified condition." Acta et Commentationes Universitatis Tartuensis de Mathematica 26, no. 2 (2022): 243–52. http://dx.doi.org/10.12697/acutm.2022.26.17.

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Fixed point theory is a crucial branch in mathematics with a colossal number of applications in countless subjects. It furnishes preeminent tools and resources for elucidating varied problems which at first glance do not look like a fixed point problem. Since and even before 1912 till now several authors launched the existence and uniqueness of common fixed points for pairs of single and set-valued maps satisfying certain compatibilities on different spaces. This paper proves existence and uniqueness of a common fixed point for pairs of occasionally weakly biased maps. This unique common fixed

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25

Hussain, Nawab, Abdulaziz Alofi, and Osama Alhindi. "COMMON FIXED POINT RESULTS FOR GENERALIZED CONTRACTIONS IN M-METRIC SPACES." Journal of Mathematical Analysis 15, no. 6 (2024): 58–70. https://doi.org/10.54379/jma-2024-6-5.

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The concept of M-metric generalizes both partial metric and conventional metric concepts. The aim of this paper is to investigate certain fixed and common fixed point results for generalized contractive mappings in Mmetric spaces. Moreover, we demonstrate the applicability of our results by providing specific examples. Our findings extend several existing results in the literature, broadening them from conventional metric spaces to M-metric spaces.

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26

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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27

Shah, Rahim, and Akbar Zada. "Some Fixed Point and Common Fixed Point Theorems in Generalized D*-metric Spaces." Sohag Journal of Mathematics 3, no. 3 (2016): 97–104. http://dx.doi.org/10.18576/sjm/030302.

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28

Borwein, Jonathan M., Guoyin Li, and Matthew K. Tam. "Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems." SIAM Journal on Optimization 27, no. 1 (2017): 1–33. http://dx.doi.org/10.1137/15m1045223.

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29

Abusalim, Sahar Mohammad, and Mohd Salmi Md Noorani. "Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/815289.

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The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature to ordered cone b-metric spaces. Some supporting examples are given.

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30

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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31

Rao, V. Sambasiva, and Uma Dixit. "Type (K) Compatible Mappings and Common Fixed Points in Complete Cone S-metric Spaces." Indian Journal Of Science And Technology 17, no. 22 (2024): 2038–45. http://dx.doi.org/10.17485/ijst/v17i22.1431.

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Objective: This research work is an attempt to explore common fixed points for four self-maps that are pairwise type ( ) compatible in a complete cone -metric space. Method: We have applied a contractive condition together with a weaker condition, compatible of type (K) to establish fixed points that are common for four self-maps. Findings: Some already existing results in the literature have been generalized, expanded upon, and new fixed point results have been obtained in cone S-metric spaces. To back up our conclusions, a suitable example is provided. Novelty: By adopting an appropriate con

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32

Singh Vashisth, Dharamvir, Raghu Nandan Patel, and Manoj Kumar Tiwari. "Common Fixed Point of Six Self Maps in Fuzzy Metric Space." International Journal of Scientific Engineering and Research 4, no. 11 (2016): 55–57. https://doi.org/10.70729/ijser151095.

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33

M, Uma. "Common Fixed Point Theorem in Fuzzy Metric Spaces for Compatible Maps." International Journal of Science and Research (IJSR) 8, no. 2 (2019): 2361–1359. http://dx.doi.org/10.21275/es231022124024.

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34

Stouti, Abdelkader. "The fixed point and the common fixed point properties in finite pseudo-ordered sets." Proyecciones (Antofagasta) 37, no. 1 (2018): 1–18. https://doi.org/10.22199/issn.0717-6279-2777.

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In this paper, we first prove that every finite nonempty pseudo-ordered with a least element has the least fixed point property and the least common fixed point property for every finite commutative family of self monotone maps. Dually, we establish that a finite nonempty pseudo-ordered with a greatest element has the greatest fixed point property and the greatest common fixed point property for every finite commutative family of self monotone maps. Secondly, we prove that every monotone map ƒ defined on a nonempty finite pseudo-ordered (X, ⊵) has at least a fixed point if and only if there is

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35

Huang, Hui, and Xue Qian. "Common fixed point of nonlinear contractive mappings." AIMS Mathematics 8, no. 1 (2022): 607–21. http://dx.doi.org/10.3934/math.2023028.

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<abstract><p>The purpose of this paper is to study the existence of a common fixed point for a pair of mappings without assumption of the contractive coefficient being fixed and less than 1. By replacing the fixed contractive coefficient with a nonlinear contractive function, we establish a unique common fixed point theorem for a pair of asymptotically regular self-mappings with either orbital continuity or $ q $-continuity in a metric space. Moreover, by the asymptotical regularity of two approximate mappings, we prove that a pair of nonexpansive and continuous self-mappings, whic

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36

Liu, Zeqing, and Jeong Sheok Ume. "Results on common fixed points." International Journal of Mathematics and Mathematical Sciences 27, no. 12 (2001): 759–64. http://dx.doi.org/10.1155/s0161171201005920.

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We establish common fixed point theorems related with families of self mappings on metric spaces. Our results extend, improve, and unify the results due to Fisher (1977, 1978, 1979, 1981, 1984), Jungck (1988), and Ohta and Nikaido (1994).

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37

Sager, Nilay, and Birsen Sağır. "Common fixed, coupled coincidence and common coupled fixed point results in hyperbolic valued metric spaces." Boletim da Sociedade Paranaense de Matemática 41 (December 23, 2022): 1–15. http://dx.doi.org/10.5269/bspm.51825.

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In this paper, we obtain existence of unique common fixed point for a contraction mapping on hyperbolic valued metric spaces, and also develop some coupled coincidence point and common coupled fixed point results for two mappings satisfying various contractive conditions in such spaces. We also give some illustrative examples to validate our results.

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38

Benavides, T. Domínguez, and P. Lorenzo Ramírez. "Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings." Proceedings of the American Mathematical Society 129, no. 12 (2001): 3549–57. http://dx.doi.org/10.1090/s0002-9939-01-06141-x.

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39

Patel, Bina R., and G. M. Deheri. "Extension of Some Common Fixed Point Theorems." International Journal of Applied Physics and Mathematics 6, no. 4 (2016): 172–84. http://dx.doi.org/10.17706/ijapm.2016.6.4.172-184.

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40

Singh, S. L., Apichai Hematulin, and Rajendra Pant. "New coincidence and common fixed point theorems." Applied General Topology 10, no. 1 (2009): 121–30. http://dx.doi.org/10.4995/agt.2009.1792.

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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

Roy, Kushal, and Mantu Saha. "On Some Common Approximate Fixed Point Theorems." General Mathematics 27, no. 2 (2019): 23–34. http://dx.doi.org/10.2478/gm-2019-0012.

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AbstractIn the present paper we establish some theorems on the existence of common approximate fixed points for a pair of generalized contractive type mappings with the property that the diameter of the set of common ∈−fixed points is tending to zero as ∈ tends to zero.

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43

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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44

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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45

Gopi, R., and V. Pragadeeswarar. "Approximating common fixed point via Ishikawa's iteration." Fixed Point Theory 22, no. 2 (2021): 645–62. http://dx.doi.org/10.24193/fpt-ro.2021.2.42.

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46

Abbas, Mujahid, and Jong-Kyu Kim. "COMMON FIXED POINT AND INVARIANT APPROXIMATION RESULTS." Bulletin of the Korean Mathematical Society 44, no. 3 (2007): 537–45. http://dx.doi.org/10.4134/bkms.2007.44.3.537.

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47

Kutbi, Marwan Amin, Muhammad Arshad, Jamshaid Ahmad, and Akbar Azam. "Generalized Common Fixed Point Results with Applications." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/363925.

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We obtained some generalized common fixed point results in the context of complex valued metric spaces. Moreover, we proved an existence theorem for the common solution for two Urysohn integral equations. Examples are presented to support our results.

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48

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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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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49

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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50

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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