Discussion on Some Recent Order-Theoretic Metrical Coincidence Theorems Involving Nonlinear Contractions-Reference-Cited by-同舟云学术

Discussion on Some Recent Order-Theoretic Metrical Coincidence Theorems Involving Nonlinear Contractions

Published:2016 Issue: Volume:2016 Page:1-11
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Alam Aftab¹,Khan Qamrul Haq¹,Imdad Mohammad¹

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Abstract

We prove some coincidence theorems involving a pair of self-mappingsfandgdefined on an ordered metric spaceXwhereinfisg-increasingφ-contractive mapping. In our results, neither the whole spaceXnor the range subspaces (f(X)org(X)) are required to be complete. Instead, we use the completeness of a subspace ofXsatisfying suitable conditions.

Funder

University Grants Commission

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2016/6275367.pdf

Reference34 articles.

1. Commuting Mappings and Fixed Points

2. Abstract comparison principles and multivariable Gronwall-Bellman inequalities

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