Common fixed point theorems for compatible maps in complex valued b - metric space

Vishal Gupta; Rajani Saini; Rahul Shukla

Authors

Vishal Gupta Department of Mathematics, MMEC, Maharishi Markandeshwar (Deemed to be University), Mullana, Haryana, India
Rajani Saini Department of Mathematics, Govt. PG College Ambala Cantt, Haryana 133001, India
Rahul Shukla Walter Sisulu University, South Africa

Abstract

The article investigates common fixed point theorems in the framework of complete complex-valued b -metric space. It establishes such theorems for compatible mappings and employs rational inequalities to derive novel results. These findings serve to extend and generalize existing results in the literature. To illustrate the practical applicability and effectiveness of the proposed methods, the article presents several non-trivial examples.

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