Relevant bibliographies by topics / Prešić-Type

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Academic literature on the topic 'Prešić-Type'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Prešić-Type"

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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