Fixed point results for generalized (α,ψ)-Meir-Keeler contractive mappings and applications

Abdul Latif; Madjid Eshaghi Gordji; Erdal Karapınar; Wutiphol Sintunavarat

doi:10.1186/1029-242X-2014-68

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Fixed point results for generalized (α,ψ)-Meir-Keeler contractive mappings and applications

Journal article

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Fixed point results for generalized (α,ψ)-Meir-Keeler contractive mappings and applications

Abdul Latif, Madjid Eshaghi Gordji, Erdal Karapınar and Wutiphol Sintunavarat

Journal of inequalities and applications, Vol.2014(1), pp.1-11

13/02/2014

DOI: https://doi.org/10.1186/1029-242X-2014-68

Abstract

Analysis

Applications of Mathematics

general

International Conference Anatolian Communications in Nonlinear Analysis

Mathematics

Mathematics and Statistics

In this paper, we introduce a new type of a generalized- ( α , ψ ) -Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via admissible mappings. Applying our results, we derive fixed point theorems in ordinary metric spaces and metric spaces endowed with an arbitrary binary relation. MSC: 47H10, 54H25.

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Title: Fixed point results for generalized (α,ψ)-Meir-Keeler contractive mappings and applications
Creators - without role: Abdul Latif - King Abdulaziz University
Madjid Eshaghi Gordji - Semnan University
Erdal Karapınar - Atilim University
Wutiphol Sintunavarat - Thammasat University
Publication Details: Journal of inequalities and applications, Vol.2014(1), pp.1-11
Publisher: Springer International Publishing
Identifiers: 9938594708331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article