Journal of Siberian Federal University. Mathematics & Physics / Coincidence Point Results and its Applications in Partially Ordered Metric Spaces

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (3)
Authors
N. Seshagiri Rao; Karusala Kalyani; Tekle Gemechu
Contact information
N. Seshagiri Rao: Department of Applied Mathematics School of Applied Natural Sciences Adama Science and Technology University Adama, Ethiopia; OCRID: 0000-0003-2409-6513; Karusala Kalyani: Department of Mathematics Vignan’s Foundation for Science, Technology & Research Andhra Pradesh, India; OCRID: 0000-0002-4531-5976; Tekle Gemechu: Department of Applied Mathematics School of Applied Natural Sciences Adama Science and Technology University Adama, Ethiopia; OCRID: 0000-0003-0592-9508
Keywords
ordered metric space; rational contraction; compatible mappings; coincidence point; common fixed point
Abstract

The purpose of this paper is to establish some common fixed point theorems for f-nondecreasing self-mapping satisfying a certain rational type contraction condition in the frame of a metric spaces endowed with partial order. Also, some consequences of the results in terms of an inte- gral type contractions are presented in the space. Further, the monotone iterative technique has been used to find a unique solution of an integral equation

Pages
398–408
DOI
10.17516/1997-1397-2022-15-3-398-408
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/145508