Some variants of Wardowski fixed point theorem

Author:

Nazam Muhammad,Aydi Hassen,Park Choonkil,Arshad Muhammad,Savas Ekrem,Shin Dong Yun

Abstract

AbstractThe purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are extensions of several ones existing in the literature. Moreover, we present examples and an application to support our results.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference42 articles.

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2. Klim, D., Wardowski, D.: Fixed points of dynamic processes of set-valued F-contractions and application to functional equations. Fixed Point Theory Appl. 2015, 22 (2015)

3. Jleli, M., Samet, B.: On a new generalization of metric spaces. J. Fixed Point Theory Appl. 20, 128 (2018)

4. Karapinar, E., Czerwik, S., Aydi, H.: $(\alpha ,\psi )$-Meir-Keeler contraction mappings in generalized b-metric spaces. J. Funct. Spaces 2018, Article ID 3264620 (2018)

5. Mustafa, Z., Sims, B.: A new approach to generalized metric spaces. J. Nonlinear Convex Anal. 7, 289–297 (2006)

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