Modified α-ψ-contractive mappings with applications

Peyman Salimi; Abdul Latif; Nawab Hussain

doi:10.1186/1687-1812-2013-151

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Modified α-ψ-contractive mappings with applications

Journal article

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Peer reviewed

Modified α-ψ-contractive mappings with applications

Peyman Salimi, Abdul Latif and Nawab Hussain

Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2013(1), p.151

10/06/2013

DOI: https://doi.org/10.1186/1687-1812-2013-151

Abstract

Analysis

Applications of Mathematics

Boundary Value Problems

Differential Geometry

Fixed Point Theory and Applications

general

General Inequalities

Mathematical and Computational Biology

Mathematics

Mathematics and Statistics

Recent Advances in Operator Equations

Topology

The aim of this work is to modify the notions of α -admissible and α - ψ -contractive mappings and establish new fixed point theorems for such mappings in complete metric spaces. Presented theorems provide main results of Karapinar and Samet (Abstr. Appl. Anal. 2012:793486, 2012) and Samet et al. (Nonlinear Anal. 75:2154-2165, 2012) as direct corollaries. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results. MSC: 46N40, 47H10, 54H25, 46T99.

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Title: Modified α-ψ-contractive mappings with applications
Creators - without role: Peyman Salimi - Islamic Azad University Central Tehran Branch
Abdul Latif - King Abdulaziz University
Nawab Hussain - King Abdulaziz University
Publication Details: Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2013(1), p.151
Publisher: Springer International Publishing
Identifiers: 9937012508331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article