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 |
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Jazyk: | angličtina |
Rok vydání: | 2023 |
Předmět: | |
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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