Applications of Asymptotic Fixed Point Theorems in A-Metric Spaces to Integral Equations

Ismat Beg; Temel Ermis; Özcan Gelisgen; Mujahid Abbas

doi:10.1155/jofs/1727696

Applications of Asymptotic Fixed Point Theorems in A-Metric Spaces to Integral Equations

Ismat Beg, Temel Ermis, Özcan Gelisgen, Mujahid Abbas

Construction Management and Quantity Surveying

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A-metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.

Original language	English
Article number	1727696
Journal	Journal of Function Spaces
Volume	2025
Issue number	1
DOIs	https://doi.org/10.1155/jofs/1727696
Publication status	Published - 2025

Keywords

A-metric space
Hardy–Rogers fixed point
asymptotic regularity
Ćirić fixed point

ASJC Scopus subject areas

Analysis

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10.1155/jofs/1727696

Cite this

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abstract = "In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and {\'C}iri{\'c} fixed point theorems in the framework of A-metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.",

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author = "Ismat Beg and Temel Ermis and {\"O}zcan Gelisgen and Mujahid Abbas",

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AU - Beg, Ismat

AU - Ermis, Temel

AU - Gelisgen, Özcan

AU - Abbas, Mujahid

PY - 2025

Y1 - 2025

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AB - In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A-metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.

KW - A-metric space

KW - Hardy–Rogers fixed point

KW - asymptotic regularity

KW - Ćirić fixed point

UR - https://www.scopus.com/pages/publications/105015438808

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DO - 10.1155/jofs/1727696

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JO - Journal of Function Spaces

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Applications of Asymptotic Fixed Point Theorems in A-Metric Spaces to Integral Equations

Abstract

Keywords

ASJC Scopus subject areas

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