New Results for Weakly Compatible (WC) and R-Weakly Commuting (RWC) Mappings with an Applicationin Dynamic Programming

Autor:	Penumarthy Parvateesam Murthy, Sanjay Kumar, Rajesh Kumar, Pusplata Sahu, Zoran D. Mitrović, Reny George
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	weak contraction weakly compatible (WC) mappings R-weakly commuting (RWC) mappings dynamic programming (DP) Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 6, Iss 12, p 733 (2022)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract6120733
Popis:	The aim of this paper is to obtain some new results about common fixed points. Our results use weaker conditions than those previously used. We have relaxed the conditions for commutating pair mappings and compatible mappings of the type (A), which were introduced in 1976. The theorems are enriched by using the concept of WC and various types of weakly commuting pairs of maps in metric spaces. To discuss the existence and uniqueness of the common solutions, we have obtained an application to the functional equations in dynamic programming.
Databáze:	Directory of Open Access Journals
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