In this study, we delineate coupled fixed point for a plan in complex valued Gb rhythmical space, prove any coupled fixed point theorems in this place space, and present an illustration to illustrate our main axiom. Fixed point theory has great significance in science and mathematics. Since this district has been grown very fast over the past two decades due to monstrous applications in various fields in the way that nonlinear analysis, study of land and engineering problems, it has intrigued considerable attention from investigators. In this paper, we proved a connected fixed point theorem in complex costly Gb-metric space that genealized the result of Kumar and Vashistha [1] and many others.

Author(s) Details:

Jitender Kumar,
Department of Mathematics, Govt. College for Girls, Palval (Kurukshetra), Haryana, India.

Sachin Vashistha,
Department of Mathematics, Hindu College (University of Delhi), Delhi-110007, India.

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Keywords: Complex Valued Gb- Metric Spaces, coupled fixed point theorem, contractive type mapping

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