Fixed Point Results for Dualistic Contractions with an Application

Autor:	Hassen Aydi, Muhammad Arshad, Muhammad Nazam, Aiman Mukheimer, Raheel Riaz
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Work (thermodynamics) Pure mathematics Physics::General Physics Property (philosophy) Article Subject 010102 general mathematics Fixed-point theorem Fixed point Type (model theory) 01 natural sciences Elliptic boundary value problem 010101 applied mathematics Metric space Modeling and Simulation Convergence (routing) QA1-939 0101 mathematics Mathematics
Zdroj:	Discrete Dynamics in Nature and Society, Vol 2020 (2020)
ISSN:	1026-0226
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:	OpenAIRE
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