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Journal articles on the topic 'Prešić-Type Fixed-Point Theorem'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

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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2

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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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

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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5

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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6

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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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

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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15

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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16

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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17

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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18

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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