Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions

Document Type : Original Article

Authors

1 Department of Mathematics, Khalsa College of Engineering & Technology (Punjab Technical University), Ranjit Avenue, Amritsar 143001, India

2 b Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, West Bengal, India

3 Department of Mathematics, Bengal Institute of Technology, Kolkata 700150, West Bengal, India

Abstract

In this paper, we establish some fixed point results for mappings involving ð/; wÞ-rational
type contractions in the framework of metric spaces endowed with a partial order. These results
generalize and extend some known results in the literature. Four illustrative examples are given.

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