FIXED POINT FOR GENERALIZED RATIONAL TYPE CONTRACTION IN PARTIALLY ORDERED METRIC SPACES


By

Joginder Paul and U. C. Gairola

Department of Mathematics, H. N. B. Garhwal University, BGR Campus, Pauri Garhwal-246001, Uttarakhand, India

Email : Joginder931995@gmail.com, ucgairola@rediffmail.com

(Received : February 04 ,2022; In format : February 12, 2022; Revised : May 04, 2022 : Accepted : May 06, 2022)


Abstract

In this paper, we prove some fixed point result for mapping satisfying a generalized contractive condition of rational type in partially ordered metric space. Our results generalize and extend some already proved result in the literature.


2020 Mathematical Sciences Classification: 54H25, 47H10.

Keywords and Phrases: Fixed point, Generalized contraction mapping, Ordered metric space, Non-decreasing mapping.



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