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Discussion of hybrid JS-contractions in b-metric spaces with applications to the existence of solutions for integral equations | |
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Fixed Point Theory, Volume 22, No. 2, 2021, 899-912, July 1st, 2021 DOI: 10.24193/fpt-ro.2021.2.59 Authors: Oratai Yamaod and Wutiphol Sintunavarat Abstract: The purpose of this work is to introduce the new concept of a hybrid JS-contraction in b-metric spaces which includes various contractions in such spaces. The existence and uniqueness of a fixed point for self mappings satisfying the proposed contractive condition on b-metric spaces are studied. As an application, the existence result of a unique solution for integral equations is also given in order to illustrate the effectiveness of the obtained results. Key Words and Phrases: Hybrid JS-contractions, b-metric spaces, integral equations. 2010 Mathematics Subject Classification: 47H09, 47H10. Published on-line: July 1st, 2021.
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