Asian Research Journal of Mathematics

Fixed Point Theorems for Mappings Satisfying Implicit Relation in Partial Metric Spaces

Preeti Bhardwaj

Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, Haryana, India.

Manoj Kumar *

Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, Haryana, India.

*Author to whom correspondence should be addressed.

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Abstract

In this manuscript, we shall introduce the implicit relation on \(\mathbb{R}_+\)⁴. Using this implicit relation, we shall prove fixed point and common fixed point theorems on partial metric spaces.

Keywords: Partial metric space, implicit relation, common fixed point

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