Strength of dynamic technique to rational type contraction in partially ordered metric spaces and extension of out comes of coupled fixed point

Subject Areas : Fixed point theory

S. K. Tiwari ¹ , J. P. Ganvir ²

1 - Department of Mathematics, Dr. C. V. Raman University, Kota, Bilaspur-495001, Chhattisgarh, India
2 - Department of Mathematics, Dr. C. V. Raman University, Kota, Bilaspur-495001, Chhattisgarh, India

Received: 2023-02-06 Accepted : 2023-03-31 Published : 2023-03-31

Keywords: coupled fixed point, mixed monotone property, rational type contraction, partially ordered metric space,

Abstract :

We investigate the mechanisms of dynamic technique to rational type contraction in the context of partially ordered metric spaces and obtain coupled fixed points in this article. Our derived results extend and generalize some prominent outcomes in the literature. At last, we have produced an example and an application for a system of integral that preserve the main results.

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