Indian Journal of Science and Technology

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


Affiliations
1 Department of Mathematics, Maharishi Markandeshwar University, Mullana - 133207, Ambala, Haryana, India
 

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

Abstract Views: 267  |  PDF Views: 0

Authors

Vishal Gupta
Department of Mathematics, Maharishi Markandeshwar University, Mullana - 133207, Ambala, Haryana, India
Raman Deep
Department of Mathematics, Maharishi Markandeshwar University, Mullana - 133207, Ambala, Haryana, India

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



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i12%2F75022