ON WEAK INTERPOLATIVE CONTRACTIONS WITH APPLICATION TO HOMOTOPY THEORY
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.