Journal of Siberian Federal University. Mathematics & Physics / Coupled Fixed Point Theorems Via Mixed Monotone Property in Ab-metric Spaces & Applications to Integral Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (3)
Authors
K. Ravibabu; G. N. V. Kishore; Ch. Srinivasa Rao; Ch. Raghavendra Naidu
Contact information
K. Ravibabu: Department of Mathematics, G.M.R.I.T Rajam, Srikakulam, India; ; G. N. V. Kishore: Department of Engineering Mathematics & Humanities Sagi Rama Krishnam Raju Engineering College Chinamiram, Bhimavaram, Andhra Pradesh, India; , OCRID: 0000-0001-7260-4071; Ch. Srinivasa Rao: Department of Mathematics, Andhra University Visakhapatnam, India; ; Ch. Raghavendra Naidu: Department of Mathematics, Govt. Degree College Palakonda, Srikakulam, India;
Keywords
Mixed weakly monotone property; Ab-metric space; Integral equation
Abstract

In this paper, we establish some results on the existence and uniqueness of coupled common fixed point theorems in partially ordered Ab-metric spaces. Examples have been provided to justify the relevance of the results obtained through the analysis of extant theorem. Further, we also find application to integral equations via fixed point theorems in Ab-metric spaces

Pages
343–356
DOI
10.17516/1997-1397-2022-15-3-343-356
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/145509