Weak condition for generalized multi-valued (f,α,β)-weak contraction mappings
Wutiphol Sintunavarat,Poom Kumam +1 more
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TLDR
The notion of generalized multi-valued f -weak contraction is extended and introduced and some coincidence and common fixed point theorems with generalizedmulti-valued ( f , α , β ) -weak contracting mappings are established.About:
This article is published in Applied Mathematics Letters.The article was published on 2011-04-01 and is currently open access. It has received 68 citations till now. The article focuses on the topics: Coincidence point & Contraction mapping.read more
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Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces
Wutiphol Sintunavarat,Poom Kumam +1 more
TL;DR: Some common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces are proved by using the new property of Kramosil and Michalek.
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Generalized common fixed point theorems in complex valued metric spaces and applications
Wutiphol Sintunavarat,Poom Kumam +1 more
TL;DR: In this article, the condition of contraction of the results of Azam et al. was extended and improved and applied to the unique common solution of system of Urysohn integral equation.
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On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered -Metric Spaces
TL;DR: In this article, the uniqueness of the coupled fixed point for mixed monotone mapping satisfying nonlinear contraction in the framework of generalized metric space endowed with partial order was proved for such mappings.
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Common fixed point theorems for c-distance in ordered cone metric spaces
TL;DR: The aim of this paper is to extend and generalize the main results of Cho et al.
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Coupled best proximity point theorem in metric Spaces
Wutiphol Sintunavarat,Poom Kumam +1 more
TL;DR: In this article, the concept of coupled best proximity point and cyclic contraction pair is introduced and the existence and convergence of these points in metric spaces is studied. And new results on the existence of coupled fixed points in a uniformly convex Banach space are given.
References
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Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
Book
Iterative Approximation of Fixed Points
TL;DR: The Picard Iteration, the Krasnoselskij Iteration and the Mann Iteration are pre-requisites of fixed point iterations as mentioned in this paper, as well as the Ishikawa Iteration.
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Fixed point theorems for multivalued mappings on complete metric spaces
TL;DR: In this article, a multivaluee version of theoreme de point fixe de Caristi is presented, which is equivalent to a version of e-variationnel theorem du a Ekeland.