New Fixed-Point Results with Hybrid-Interpolative Reich–Istratescu-Type Contractions on S-Metric Spaces

Poşul, Hande; Kaplan, Elif; Taş, Nihal

doi:10.1007/978-981-95-5160-6_15

New Fixed-Point Results with Hybrid-Interpolative Reich–Istratescu-Type Contractions on S-Metric Spaces

Poşul H., Kaplan E., Taş N.

in: Industrial and Applied Mathematics, Springer, pp.255-272, 2026

Publication Type: Book Chapter / Chapter Research Book
Publication Date: 2026
Doi Number: 10.1007/978-981-95-5160-6_15
Publisher: Springer
Page Numbers: pp.255-272
Keywords: 47H10, 54H25, Fixed point, Hybrid-interpolative Reich–Istratescu-type (S-α-μ)-contraction, S-metric space
Ondokuz Mayıs University Affiliated: Yes

Abstract

Metric fixed-point theory is one of the most extensively researched mathematics subjects. We express and prove fixed-point theorems using various approaches, both on the structure of metric spaces and on generalized metric space structures. Along with the help of the hybrid-interpolative Reich–Istratescu-type S-aμ)-contraction structure, new fixed-point results are found on S-metric spaces in this chapter. Every new result obtained sheds light on another research topic. These results significantly advance fixed-point theory by generalizing existing results in the literature.