Fixed Point Results for Dualistic Contractions with an Application
Autor: | Muhammad Nazam, Aiman Mukheimer, Hassen Aydi, Muhammad Arshad, Raheel Riaz |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: | |
Zdroj: | Discrete Dynamics in Nature and Society, Vol 2020 (2020) |
Druh dokumentu: | article |
ISSN: | 1026-0226 1607-887X |
DOI: | 10.1155/2020/6428671 |
Popis: | In this paper, by introducing a convergence comparison property of a self-mapping, we establish some new fixed point theorems for Bianchini type, Reich type, and Dass-Gupta type dualistic contractions defined on a dualistic partial metric space. Our work generalizes and extends some well known fixed point results in the literature. We also provide examples which show the usefulness of these dualistic contractions. As an application of our findings, we demonstrate the existence of the solution of an elliptic boundary value problem. |
Databáze: | Directory of Open Access Journals |
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