Coupled Fixed Points Results for Nonlinear Contractions in Quasi-ordered Metric Spaces

Vishal Gupta  andRaman Deep

doi:10.17485/ijst/2015/v8i13/51702

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Coupled Fixed Points Results for Nonlinear Contractions in Quasi-ordered Metric Spaces

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i13/51702

Year: 2015, Volume: 8, Issue: 13, Pages: 1-7

Original Article

Coupled Fixed Points Results for Nonlinear Contractions in Quasi-ordered Metric Spaces

Vishal Gupta^* andRaman Deep

Department of Mathematics, Maharishi Markandeshwar University, Mullana - 133207, Ambala, Haryana, India; [email protected], [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The purpose of this paper is to prove some coupled fixed point theorems for mappings having the mixed monotone property in quasi-ordered metric spaces. Here, we take two mappings F and T in which F is assumed to satisfy the mixed monotone property and T is an ICS mapping. Also, an explained example is given to verify our findings.

Keywords: Contraction Type Mapping, Coupled Fixed Point, ICS Mapping, Mixed Monotone Property, Quasi-Ordered Metric Space