Common fixed-point theorems for non-linear non-self contractive mappings in convex metric spaces

Santosh Kumar, David Aron

Type: Article

Publication Date: 2023-01-01

Citations: 2

DOI: https://doi.org/10.1515/taa-2022-0122

Abstract

Abstract In this article, two pairs of non-self mappings satisfying a collection of non-linear contractive conditions in convex metric space are considered to prove a common fixed-point theorem. An appropriate example is provided to support the results proved herein. In addition, we have proved a theorem as an application of our main result. Our results generalize and extend several existing theorems in the literature.

Locations

Topological Algebra and its Applications - View - PDF

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+ PDF Chat	Best Proximity Points for Generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi mathvariant="bold-italic">α</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="bold-italic">ψ</mml:mi></mml:math>-Proximal Contractive Type Mappings	2013	Mohamed Jleli Erdal Karapınar Bessem Samet
+	Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type	2009	Łjubomir Ćirić Vladimir Rakočević Stojan Radenović Miloje Rajović Rade Lazović
+ PDF Chat	A convexity in metric space and nonexpansive mappings. I.	1970	Wataru Takahashi
+	Cone metric spaces and fixed point theorems of contractive mappings	2006	Huang Long-guang Xian Zhang
+	Contractive type non-self mappings on metric spaces of hyperbolic type	2005	Łjubomir Ćirić
+	Rhoades-type fixed-point theorems for a pair of nonself mappings	2003	Mohammad Imdad Santosh Kumar
+	Fixed point theorem for two non-self mappings in cone metric spaces	2009	Stojan Radenović Β. E. Rhoades
+	Fixed Point Theorems for Non-Expansive Mappings on Star-Shaped Subsets of Banach Spaces	1972	W. G. Dotson
+ PDF Chat	Fixed point theorems for set-valued mappings of contractive type	1972	Nadim A. Assad W. A. Kirk