FIXED POINT FOR GENERALIZED RATIONAL TYPE CONTRACTION IN PARTIALLY ORDERED METRIC SPACES
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, firstname.lastname@example.org
(Received : February 04 ,2022; In format : February 12, 2022; Revised : May 04, 2022 : Accepted : May 06, 2022)
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