ON WEAK INTERPOLATIVE CONTRACTIONS WITH APPLICATION TO HOMOTOPY THEORY

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Yildirim İ., Sahin Y. S.

JOURNAL OF SCIENCE AND ARTS, no.2, pp.421-430, 2023 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2023
• Doi Number: 10.46939/j.sci.arts-23.2-a09
• Journal Name: JOURNAL OF SCIENCE AND ARTS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.421-430
• Keywords: Fixed point, weak interpolative contraction mapping, b-metric spaces
• Open Archive Collection: AVESIS Open Access Collection
• Ataturk University Affiliated: Yes

Abstract

In this paper, we firstly introduce definition of weak interpolative Hardy -Rogers type contractions and we give an example for a class of this mappings. We also prove a fixed point theorem under some appropriate conditions on complete b -metric spaces. Finally, we discuss an application to homotopy theory of our main result.