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Academic literature on the topic 'Prešić-Type Fixed-Point Theorem'

Author: Grafiati

Published: 2 June 2025

Last updated: 5 July 2025

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

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, Maria Grazia. Un’osservazione sulle contrazioni metriche. (Italian) Rend. Sem. Mat. Univ. Padova 40 1968 139–143] and the obtained results are proved is the present paper. An example is also provided.

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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, remains significant in metric fixed point theory, as evidenced by recent publications. The overview article addresses the growing importance of Prešić’s approach, coupled with new ideas, reflecting the ongoing advancements in the field. Additionally, the paper establishes the existence and uniqueness of fixed points in Menger spaces, contributing to the filling of gaps in the existing literature on Prešić’s works while providing valuable insights into this specialized domain.

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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 of solutions to the integral equations.

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