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Journal articles on the topic 'Prešić-Type'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Yeşilkaya, Seher Sultan, and Cafer Aydın. "Several Theorems on Single and Set-Valued Prešić Type Mappings." Mathematics 8, no. 9 (2020): 1616. http://dx.doi.org/10.3390/math8091616.

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In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show that our main theorems are applicable. These examples show that the new class of set-valued Prešić type almost F-contractive operators is not included in Prešić type class of set-valued Prešić type almost contractive operators.

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2

Gholidahneh, Abdolsattar, Shaban Sedghi, and Vahid Parvaneh. "Some Fixed Point Results for Perov-Ćirić-Prešić Type F-Contractions with Application." Journal of Function Spaces 2020 (August 28, 2020): 1–9. http://dx.doi.org/10.1155/2020/1464125.

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Ćirić and Prešić developed the concept of Prešić contraction to Ćirić-Prešić type contractive mappings in the background of a metric space. On the other hand, Altun and Olgun introduced Perov type F-contractions. In this paper, we extend the concept of Ćirić-Prešić contractions to Perov-Ćirić-Prešić type F-contractions. Our results modify some known ones in the literature. To support our main result, an example and an application to nonlinear operator systems are presented.

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3

OZEKEN, CETIN CEMAL, and CUNEYT CEVIK. "PREŠIĆ TYPE OPERATORS ON ORDERED VECTOR METRIC SPACES." Journal of Science and Arts 21, no. 4 (2021): 935–42. http://dx.doi.org/10.46939/j.sci.arts-21.4-a05.

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In this paper we present a fixed point theorem for order-preserving Prešić type operators on ordered vector metric spaces. This result extends many results in the literature obtained for Prešić type operators both on metric spaces and partially ordered metric spaces. We also emphasize the relationships between our work and the previous ones in the literature. Finally we give an example showing the fact that neither results for Prešić type contractions on metric spaces nor the results for ordered Prešić type contractions on ordered metric space is applicable to it.

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4

Balazs, Margareta-Eliza. "Maia type fixed point theorems for Ćirić-Prešić operators." Acta Universitatis Sapientiae, Mathematica 10, no. 1 (2018): 18–31. http://dx.doi.org/10.2478/ausm-2018-0002.

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Abstract The main aim of this paper is to obtain Maia type fixed point results for Ćirić-Prešić contraction condition, following Ćirić L. B. and Prešić S. B. result proved in [Ćirić L. B.; Prešić S. B. On Prešić type generalization of the Banach contraction mapping principle, Acta Math. Univ. Comenian. (N.S.), 2007, v 76, no. 2, 143–147] and Luong N. V. and Thuan N. X. result in [Luong, N. V., Thuan, N. X., Some fixed point theorems of Prešić-Ćirić type, Acta Univ. Apulensis Math. Inform., No. 30, (2012), 237–249]. We unified these theorems with Maia’s fixed point theorem proved in [Maia, Mari

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5

Achtoun, Youssef, Milanka Gardasević-Filipović, Slobodanka Mitrović, and Stojan Radenović. "On Prešić-Type Mappings: Survey." Symmetry 16, no. 4 (2024): 415. http://dx.doi.org/10.3390/sym16040415.

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This paper is dedicated to the memory of the esteemed Serbian mathematician Slaviša B. Prešić (1933–2008). The primary aim of this survey paper is to compile articles on Prešić-type mappings published since 1965. Additionally, it introduces a novel class of symmetric contractions known as Prešić–Menger and Prešić–Ćirić–Menger contractions, thereby enriching the literature on Prešić-type mappings. The paper endeavors to furnish young researchers with a comprehensive resource in functional and nonlinear analysis. The relevance of Prešić’s method, which generalizes Banach’s theorem from 1922, rem

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6

Boonsri, Narongsuk, Satit Saejung, and Kittipong Sitthikul. "On Ćirić-Prešić Operators in Metric Spaces." Journal of Function Spaces 2021 (July 30, 2021): 1–9. http://dx.doi.org/10.1155/2021/5758032.

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We show that the Prešić type operators of several variables can be regarded as an operator of a single variable and the fixed point problem of Prešić type can be regarded as a classical fixed point problem. We extend the recent result of Ćirić and Prešić by using the classical approach of Prešić. The key of the proof is based on the mappings introduced by Kada, Suzuki, and Takahashi. We also discuss the convergence problems of recursive real sequences and the Volterra integral equations as an application of our result.

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7

Ozturk, Vildan. "Some Results for Ćirić–Prešić Type Contractions in F-Metric Spaces." Symmetry 15, no. 8 (2023): 1521. http://dx.doi.org/10.3390/sym15081521.

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In this study, first, we introduce Ćirić–Prešić type contraction in F-metric spaces and prove a fixed point theorem for self mappings. We apply the fixed point results for a second-order differential equation. Therefore, we define Prešić type almost contraction and F-contraction, and we prove some fixed point theorems. In the last section, we prove the best proximity point theorems for Ćirić–Prešić type proximal contraction in F-metric spaces. Our results generalize the existing results in the literature.

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8

Shukla, Satish, and Brian Fisher. "A Generalization of Prešić Type Mappings in Metric-Like Spaces." Journal of Operators 2013 (April 22, 2013): 1–5. http://dx.doi.org/10.1155/2013/368501.

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We generalize the result of Prešić in metric-like spaces by proving some common fixed point theorems for Prešić type mappings in metric-like spaces. An example is given which shows that the generalization is proper.

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9

Alansari, Monairah, and Muhammad Usman Ali. "Interpolative Prešić Type Contractions and Related Results." Journal of Function Spaces 2022 (February 21, 2022): 1–10. http://dx.doi.org/10.1155/2022/6911475.

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In this article, we will extend the notion of interpolative Kannan contraction by introducing the notions of interpolative Prešić type contractions and interpolative Prešić type proximal contractions for mappings defined on product spaces. Through these notions, we will derive some results to ensure the existence of fixed points and best proximity points for such mappings.

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10

Shukla, Satish, Stojan Radenović, and Slaviša Pantelić. "Some Fixed Point Theorems for Prešić-Hardy-Rogers Type Contractions in Metric Spaces." Journal of Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/295093.

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We introduce some generalizations of Prešić type contractions and establish some fixed point theorems for mappings satisfying Prešić-Hardy-Rogers type contractive conditions in metric spaces. Our results generalize and extend several known results in metric spaces. Some examples are included which illustrate the cases when new results can be applied while old ones cannot.

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11

Batul, Samina, Dur-e.-Shehwar Sagheer, Hassen Aydi, Aiman Mukheimer, and Suhad Subhi Aiadi. "Best proximity point results for Prešić type nonself operators in $ b $-metric spaces." AIMS Mathematics 7, no. 6 (2022): 10711–30. http://dx.doi.org/10.3934/math.2022598.

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<abstract><p>The present work is about the existence of best proximity points for Prešić type nonself operators in $ b $-metric spaces. In order to elaborate the results an example is presented. Moreover, some interesting formulations of Prešić fixed point results are also established. In addition a result in double controlled metric type space is also formulated.</p></abstract>

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12

Kutbi, Marwan Amin, Jamshaid Ahmad, and Muhammad Imran Shahzad. "On Some New Fixed Point Results with Applications to Matrix Difference Equations." Journal of Mathematics 2021 (June 1, 2021): 1–9. http://dx.doi.org/10.1155/2021/5526413.

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The aim of this article is to discuss the convergence of iterative sequences of the Prešić type involving new classes of operators satisfying Prešić type Θ -contractive condition in the context of metric spaces. Some examples are also provided to show the significance of the investigation of finding fixed points. Some convergence results for a class of matrix difference equations will be derived as application.

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13

Shukla, Satish, and Stojan Radenović. "A Generalization of Prešić Type Mappings in 0-Complete Ordered Partial Metric Spaces." Chinese Journal of Mathematics 2013 (September 18, 2013): 1–8. http://dx.doi.org/10.1155/2013/859531.

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The purpose of this paper is to prove some coincidence and common fixed point results for mappings satisfying Prešić type contraction condition in 0-complete ordered partial metric spaces. The results proved in this paper generalize and extend the results of Prešić and Matthews in 0-complete ordered partial metric spaces. Some examples are included which show that the generalization is proper.

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14

Latif, Abdul, Talat Nazir, and Mujahid Abbas. "Fixed Point Results for Multivalued Prešić type Weakly Contractive Mappings." Mathematics 7, no. 7 (2019): 601. http://dx.doi.org/10.3390/math7070601.

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We present fixed points results of multivalued Prešić type k-step iterative mappings satisfying generalized weakly contraction conditions in metric spaces. An example is presented to support the main result proved herein. The stability of fixed point sets of multivalued Prešić type weakly contractive mappings are also established. Global attractivity result for the class of matrix difference equations is derived as application of the result presented herein. These results generalize and extend various comparable results in the existing literature.

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15

Alansari, Monairah, Ghada Ali Basendwah, and Muhammad Usman Ali. "On Interpolative Prešić-Type Set-Valued Contractions." Journal of Mathematics 2022 (June 3, 2022): 1–10. http://dx.doi.org/10.1155/2022/4194875.

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This study aims to present the notions of interpolative Prešić-type set-valued contractions for the set-valued operators defined on product spaces. With the help of these notions, we have studied the existence of fixed points for such set-valued operators. An application of the obtained results is also discussed with the help of graph theory.

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16

Shukla, Satish. "Prešić type results in 2-Banach spaces." Afrika Matematika 25, no. 4 (2013): 1043–51. http://dx.doi.org/10.1007/s13370-013-0174-2.

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17

Balazs, Margareta-Eliza. "Maia type fixed point theorems for Prešić type operators." Fixed Point Theory 20, no. 1 (2019): 59–70. http://dx.doi.org/10.24193/fpt-ro.2019.1.04.

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18

Shukla, Satish, та Naseer Shahzad. "α-admissible Prešić type operators and fixed points". Nonlinear Analysis: Modelling and Control 21, № 3 (2016): 424–36. http://dx.doi.org/10.15388/na.2016.3.9.

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In this paper, we introduce α-admissible mappings on product spaces and obtain fixed point results for α-admissible Prešić type operators. Our results extend, unify and generalize some known results of the literature. We also provide examples which illustrate the results proved herein and show that how the new results are different from the existing ones.

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19

Chen, Yong-Zhuo. "A Prešić type contractive condition and its applications." Nonlinear Analysis: Theory, Methods & Applications 71, no. 12 (2009): e2012-e2017. http://dx.doi.org/10.1016/j.na.2009.03.006.

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20

Shukla, Satish, and Ravindra Sen. "Set-valued Prešić–Reich type mappings in metric spaces." Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 108, no. 2 (2012): 431–40. http://dx.doi.org/10.1007/s13398-012-0114-2.

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21

Sk, Faruk, Mohammed Ahmed Osman Tom, Qamrul Haq Khan та Faizan Ahmad Khan. "On Prešić–Ćirić-Type α-ψ Contractions with an Application". Symmetry 14, № 6 (2022): 1166. http://dx.doi.org/10.3390/sym14061166.

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In this paper, we extend the idea of α-ψ contraction mapping to the product spaces by introducing Prešić–Ćirić-type α-ψ contractions and utilize them to prove some coincidence and common fixed-point theorems in the context of ordered metric spaces using α-admissibility of the mapping. Our newly established results generalize a number of well-known fixed-point theorems from the literature. Moreover, we give some examples that attest to the credibility of our results. Further, we give an application to the nonlinear integral equations, which can be employed to study the existence and uniqueness

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22

Ramesh Kumar, D., and M. Pitchaimani. "Set-valued contraction mappings of Prešić–Reich type in ultrametric spaces." Asian-European Journal of Mathematics 10, no. 04 (2017): 1750065. http://dx.doi.org/10.1142/s1793557117500656.

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In this paper, we introduce the concept of set-valued Prešić–Reich type contractive condition in ultrametric spaces and establish the existence and uniqueness of coincidence and common fixed point of a set-valued and a single-valued mapping besides furnishing illustrative examples to highlight the realized improvements in the context of ultrametric spaces. Our results generalize and extend some known results in the literature.

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23

Raza, Ali, Mujahid Abbas, Hasanen A. Hammad, and Manuel De la Sen. "Fixed Point Approaches for Multi-Valued Prešić Multi-Step Iterative Mappings with Applications." Symmetry 15, no. 3 (2023): 686. http://dx.doi.org/10.3390/sym15030686.

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The purpose of this paper is to present some fixed point approaches for multi-valued Prešić k-step iterative-type mappings on a metric space. Furthermore, some corollaries are obtained to unify and extend many symmetrical results in the literature. Moreover, two examples are provided to support the main result. Ultimately, as potential applications, some contributions of integral type are investigated and the existence of a solution to the second-order boundary value problem (BVP) is presented.

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24

Khan, Mohammad, Maher Berzig, and Bessem Samet. "Some convergence results for iterative sequences of Prešić type and applications." Advances in Difference Equations 2012, no. 1 (2012): 38. http://dx.doi.org/10.1186/1687-1847-2012-38.

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25

Ahmad, Jamshaid, Saleh Abdullah Al-Mezel та Ravi P. Agarwal. "Fixed Point Results for Perov–Ćirić–Prešić-Type Θ-Contractions with Applications". Mathematics 10, № 12 (2022): 2062. http://dx.doi.org/10.3390/math10122062.

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The aim of this paper is to introduce the notion of Perov–Ćirić–Prešić-type Θ-contractions and to obtain some generalized fixed point theorems in the setting of vector-valued metric spaces. We derive some fixed point results as consequences of our main results. A nontrivial example is also provided to support the validity of our established results. As an application, we investigate the solution of a semilinear operator system in Banach space.

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26

Khan, Faizan Ahmad, Kholood Alnefaie, Nidal H. E. Eljaneid, Esmail Alshaban, Adel Alatawi, and Mohammed Zayed Alruwaytie. "Results for Nonlinear-Prešić Contractions in Relational Metric Spaces." Symmetry 16, no. 9 (2024): 1125. http://dx.doi.org/10.3390/sym16091125.

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This article aims to adopt some notions for mapping f:Xk→X, (where integer k is positive) and to prove the nonlinear-Prešić-type results on metric spaces employing a f-reflexive and locally finitely f-transitive binary relation (not necessarily partial order). The outcomes proven herewith are extended and generalized to several fixed point findings of literature. Lastly, examples are provided to support the applicability of these outcomes.

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27

Shukla, Satish, Slobodan Radojević, Zorica A. Veljković, and Stojan Radenović. "Some coincidence and common fixed point theorems for ordered Prešić-Reich type contractions." Journal of Inequalities and Applications 2013, no. 1 (2013): 520. http://dx.doi.org/10.1186/1029-242x-2013-520.

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28

Altun, Ishak, İlker Gençtürk, and Ali Erduran. "Prešić-type fixed point results via Q-distance on quasimetric space and application to (p, q)-difference equations." Nonlinear Analysis: Modelling and Control 28 (October 27, 2023): 1–14. http://dx.doi.org/10.15388/namc.2023.28.33436.

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In this paper, we introduce two new properties to the Q-function, called as the 0-property and the small self-distance property, which is frequently used in studies of fixed point theory in quasimetric spaces. Then, with the help of Q-functions having these properties, we present some fixed point theorems for Prešić-type mappings in quasimetric spaces. Finally, we state a theorem for the existence and uniqueness of the solution to a boundary value problem for (p, q)-difference equations to demonstrate the applicability of our theoretical results, which we support with an example.

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29

Khan, Mohammad Saeed, Satish Shukla, and Shin Min Kang. "FIXED POINT THEOREMS OF WEAKLY MONOTONE PREŠIĆ TYPE MAPPINGS IN ORDERED CONE METRIC SPACES." Bulletin of the Korean Mathematical Society 52, no. 3 (2015): 881–93. http://dx.doi.org/10.4134/bkms.2015.52.3.881.

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30

Kumar, D. Ramesh, and M. Pitchaimani. "A generalization of set-valued Prešić–Reich type contractions in ultrametric spaces with applications." Journal of Fixed Point Theory and Applications 19, no. 3 (2016): 1871–87. http://dx.doi.org/10.1007/s11784-016-0338-4.

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31

Shukla, Satish, Nabil Mlaiki, and Hassen Aydi. "On (G, G′)-Prešić–Ćirić Operators in Graphical Metric Spaces." Mathematics 7, no. 5 (2019): 445. http://dx.doi.org/10.3390/math7050445.

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The purpose of this paper is to introduce a new type of operators in graphical metric spaces and to prove some fixed point results for these operators. Several known results are generalized and extended in this new setting of graphical metric spaces. The results are illustrated and justified with examples.

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32

Shukla, Satish, and Stojan Radenović. "Some Generalizations of Prešić Type Mappings and Applications." Annals of the Alexandru Ioan Cuza University - Mathematics, March 13, 2015. http://dx.doi.org/10.1515/aicu-2015-0026.

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Abstract In this paper, we prove some common fixed point theorems for the mappings satisfying Prešić type contractive conditions in metric spaces. Our results generalize and extend the result of Prešić for some new type of contractive conditions. The common fixed point of mappings is approximated by a k-step iterative sequence. Some examples are provided to illustrate the results. An application of Prešić type mappings to second order difference equations is also given.

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33

Păcurar, Mădălina. "Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators." Demonstratio Mathematica 56, no. 1 (2023). http://dx.doi.org/10.1515/dema-2022-0185.

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Abstract We introduced a new general class of Prešić-type operators, by enriching the known class of Prešić contractions. We established conditions under which enriched Prešić operators possess a unique fixed point, proving the convergence of two different iterative methods to the fixed point. We also gave a data dependence result that was finally applied in proving the global asymptotic stability of the equilibrium of a certain k-th order difference equation.

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34

"Fixed points of Prešić-Ćirić type fuzzy operators." Journal of Nonlinear Functional Analysis 2019, no. 1 (2019). http://dx.doi.org/10.23952/jnfa.2019.35.

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35

Shukla, Satish, Ravindra Sen, and Stojan Radenović. "Set-Valued Prešić Type Contraction in Metric Spaces." Annals of the Alexandru Ioan Cuza University - Mathematics, January 8, 2014. http://dx.doi.org/10.2478/aicu-2014-0011.

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36

Álvarez, Eduardo Daniel Jorquera. "Maia type fixed point theorems for contraction and nonexpansive Ćirić–Prešić operators in ordered spaces." Arabian Journal of Mathematics, December 20, 2024. https://doi.org/10.1007/s40065-024-00487-8.

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AbstractThe main aim of this paper is to state nonexpansive Maia type fixed point theorems for Ćirić–Prešić operators in normed spaces endowed with a partial order. For this we do a thorough analysis in the hypotheses of our theorems, considering different properties of completeness, compactness, convexity and bounding. We state Maia type fixed point theorems for contraction and nonexpansive Ćirić–Prešić operators, including those defined by a multiply metric function. Fixed point theorems in spaces without a partial order, as well as, corollaries for monotone nonexpansive mappings are stated

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37

Özeken, Çetin Cemal, and Cüneyt Çevik. "On some fixed point theorems for ordered vectorial Ćirić-Prešić type contractions." Journal of Analysis, September 26, 2022. http://dx.doi.org/10.1007/s41478-022-00504-z.

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38

Hammad, Hasanen A., Mohamed Elmursi, Rashwan A. Rashwan, and Hüseyin Işık. "Applying fixed point methodologies to solve a class of matrix difference equations for a new class of operators." Advances in Continuous and Discrete Models 2022, no. 1 (2022). http://dx.doi.org/10.1186/s13662-022-03724-6.

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AbstractThe goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these operators. Our results generalize, extend, and unify many papers in this direction. Moreover, two examples are derived to support and document our theoretical results. Finally, to strengthen our paper and its contribution to applications, some convergence results for a class of matrix difference equations are investigated.

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39

Berinde, Vasile, and Mădălina Păcurar. "Stability of k-step fixed point iterative methods for some Prešić type contractive mappings." Journal of Inequalities and Applications 2014, no. 1 (2014). http://dx.doi.org/10.1186/1029-242x-2014-149.

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40

Ramesh Kumar, D., and M. Pitchaimani. "Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces." Journal of Fixed Point Theory and Applications 20, no. 1 (2018). http://dx.doi.org/10.1007/s11784-018-0504-y.

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41

Keçeci, Mehmet. "Diversity of Keçeci Numbers and Their Application to Prešić-Type Fixed-Point Iterations: A Numerical Exploration." May 21, 2025. https://doi.org/10.5281/zenodo.15483569.

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Diversity of Keçeci Numbers and Their Application to Pre&scaron;ić-Type Fixed-Point Iterations: A Numerical Exploration <strong>Mehmet Keçeci<sup>1</sup></strong> <strong><sup>1</sup></strong><strong>ORCID </strong>: https://orcid.org/0000-0001-9937-9839, İstanbul, Türkiye <strong>Received</strong>: 21.05.2025   <strong>Abstract:</strong><strong> </strong> <strong> </strong> This study investigates the role of Keçeci Numbers, as defined by M. Keçeci and encompassing a broad spectrum of number systems (positive/negative integer-like real numbers, float

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