Almost Ćirić Type Contractions and Their Applications in Complex Valued b-Metric Spaces

Author:

Sarwar Muhammad1,Shah Syed Khayyam1,Mitrović Zoran D.2ORCID,Mukheimer Aiman3ORCID,Mlaiki Nabil3ORCID

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara 18800, Pakistan

2. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

In this article, we present the use of a unique and common fixed point for a pair of mappings that satisfy certain rational-type inequalities in complex-valued b-metric spaces. We also provide applications related to authenticity concerns in integral equations. Our results combine well-known contractions, such as the Ćirić contraction and almost contractions.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference30 articles.

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3. Common fixed point theorem for weakly compatible maps in complex valued metric spaces;Bhatt;Int. J. Math. Sci. Appl.,2011

4. Fixed points of generalized multi-valued contractive mappings in metric type spaces;Latif;J. Nonlinear Var. Anal.,2022

5. Some fixed point theorems with rational type contraction in controlled metric spaces;Xu;J. Adv. Math. Stud.,2023

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