Best proximity point results for modified Suzuki α-ψ-proximal contractions

Nawab Hussain; Abdul Latif; Peyman Salimi

doi:10.1186/1687-1812-2014-10

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Best proximity point results for modified Suzuki α-ψ-proximal contractions

Journal article

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Best proximity point results for modified Suzuki α-ψ-proximal contractions

Nawab Hussain, Abdul Latif and Peyman Salimi

Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2014(1), pp.10-10

09/01/2014

DOI: https://doi.org/10.1186/1687-1812-2014-10

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

In this paper, we introduce a modified Suzuki α - ψ -proximal contraction. Then we establish certain best proximity point theorems for such proximal contractions in metric spaces. As an application, we deduce best proximity and fixed point results in partially ordered metric spaces. The results presented generalize and improve various known results from best proximity and fixed point theory. Moreover, some examples are given to illustrate the usability of the obtained results. MSC: 46N40, 47H10, 54H25, 46T99.

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Title: Best proximity point results for modified Suzuki α-ψ-proximal contractions
Creators - without role: Nawab Hussain - King Abdulaziz University
Abdul Latif - King Abdulaziz University
Peyman Salimi - Islamic Azad University Central Tehran Branch
Publication Details: Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2014(1), pp.10-10
Publisher: Springer International Publishing
Identifiers: 9935906008331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article