Fixed Point Results for Dualistic Contractions with an Application

Autor: Muhammad Nazam, Aiman Mukheimer, Hassen Aydi, Muhammad Arshad, Raheel Riaz
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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