Common fixed point theorems for weakly biased mappings with an application in dynamic programming

Volume 36, Issue 4, pp 399--407 https://dx.doi.org/10.22436/jmcs.036.04.04

Publication Date: August 24, 2024 Submission Date: June 05, 2024 Revision Date: June 11, 2024 Accteptance Date: July 15, 2024

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Authors

R. Kumar - Department of Mathematics, Institute of Higher Learning, BPS Mahila Vishwavidyalaya, ‎Khanpur Kalan-131305‎, ‎Sonipat‎, ‎Haryana, India. C. Park - Research Institute for Convergence of Basic Sciences, ‎Hanyang University, Seoul, 04763, Korea. M. Donganont - School of Science‎, University of Phayao, Phayao 56000, Thailand.

Abstract

‎The main objective of this paper is to investigate common fixed point theorems for weakly biased mappings satisfying property \((E.A)\) and a weak contraction condition involving cubic terms of distance functions‎. ‎Our results generalize and improve the results by Kumar and Kumar [R‎. ‎Kumar‎, ‎S‎. ‎Kumar‎, ‎J‎. ‎Math‎. ‎Comput‎. ‎Sci.‎, \(\bf 11\) (2021)‎, ‎1922--1954]‎. ‎Results are supported with relevant application and example‎.

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Keywords

• Common fixed point
• weak contraction
• weakly biased mapping
• property \((E.A)\)
• dynamic programming

MSC

•  54H25
•  47H10