Some Fixed Point Theorems for α-Admissible Mappings in S-Metric Spaces | ||
| Electronic Journal of Mathematical Analysis and Applications | ||
| Volume 13, Issue 2, 2025, Pages 1-10 PDF (480.51 K) | ||
| Document Type: Regular research papers | ||
| DOI: 10.21608/ejmaa.2025.386619.1364 | ||
| Authors | ||
| Sadashiv G. Dapke* 1; Trushali R. Shimpi2 | ||
| 1Iqras H J Thim College of Arts and Science Jalgaon, India. | ||
| 2GF's Godavari College of Engineering, Jalgaon, India. | ||
| Abstract | ||
| In this paper, we investigate the existence of fixed points for a class of mappings known as α-admissible mappings within the framework of S-metric spaces, a generalization of metric spaces. Our main objective is to extend and refine existing fixed point theorems by relaxing some of the common contraction conditions typically required in classical results. Specifically, we establish new fixed point results under weaker contraction conditions, thereby broadening the applicability of these theorems to a wider class of mappings. The motivation behind considering α-admissible mappings lies in their flexibility and potential to capture a larger set of functional behaviors in nonlinear analysis. Our approach not only generalizes several known results in the literature but also unifies them under a common theoretical framework. These findings contribute meaningfully to the growing body of research in fixed point theory, particularly within the context of generalized metric structures such as S-metric spaces, and open new avenues for further investigation. | ||
| Keywords | ||
| S-metric space; α-admissible mapping; contraction mapping; fixed point theorem | ||
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