On (α,φ)-weak Pata contractions

Year 2022, , 228 - 240, 31.12.2022

Merve Aktay , Murat Özdemir

https://doi.org/10.51354/mjen.1085695

Cited By: 3

Abstract

In this paper, we give (α,φ)-weak Pata contractive mapping by using the simulation function and multivalued (α,φ)-weak Pata contractions and establish some fixed point results for such contractions. Also, we give an example related to (α,φ)-weak Pata contractive mappings via simulation function. Our results generalize some Pata-type contractions and Banach contractions. Consequently, the obtained results encompass several results in the literature.

Keywords

fixed point, pata contraction, φ-weak contraction, metric spaces

Thanks

The first author would like to thank TUBITAK (the Scientific and Technological Research Council of Turkey) for their financial support during her Ph.D. studies.

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