Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b-Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol.31, no.3, pp.61-86, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 31 Issue: 3
- Publication Date: 2023
- Doi Number: 10.2478/auom-2023-0032
- Journal Name: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.61-86
- Keywords: Modular metric space, Multi-valued mapping, Proinov-type function, Sehgal type contraction
- Karadeniz Technical University Affiliated: Yes
Abstract
In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b-metric space. To demonstrate the theorems, we employ a general form of (α, β) -admissible and multi-valued mappings and obtain some general results for single-valued mapping in the context of modular b-metric space.