Some Common Fixed Point Results in Modular Ultrametric Space Using Various Contractions and Their Application to Well-Posedness

Autor:	Yahya Almalki, Balaanandhan Radhakrishnan, Uma Jayaraman, Kandhasamy Tamilvanan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fixed point common fixed point (CFP) modular metric space ultrametric space Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 19, p 4077 (2023)
Druh dokumentu:	article
ISSN:	2227-7390 13791311
DOI:	10.3390/math11194077
Popis:	The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces. These theorems are proved under varying contractive circumstances and without the property of spherical completeness. As a consequence, the examples of fixed point and common fixed point problems are correctly formulated. As an application, the well-posedness of a common fixed point problem is proved. This study expands on prior research in modular ultrametric space to provide a more comprehensive understanding of such spaces using generalized contraction.
Databáze:	Directory of Open Access Journals
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