Abstract
AbstractThe concept of α-admissible mapping introduced by Samet et al. (Nonlinear Anal. 75:2154–2165, 2012) has various generalizations. In this paper, we introduce the concept of $\alpha _{s}$
α
s
-admissible mapping and its various forms by generalizing the concept of α-admissible mapping in the setting of S-metric spaces. Further, we also introduce generalized rational $\alpha _{s}$
α
s
-Geraghty contraction type mappings and study the existence of fixed point theorems in S-metric spaces. Examples are also given to verify the main results.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference24 articles.
1. Samet, B., Vetro, C., Vetro, P.: Fixed point theorems for $\alpha -\psi $-contractive type mappings. Nonlinear Anal. 75, 2154–2165 (2012)
2. Sedghi, S., Shobe, N., Aliouche, A.: A generalization of fixed point theorems in S-metric spaces. Mat. Vesn. 64(3), 258–266 (2012)
3. Abdeljwad, T.: Meir–Keeler α-contractive fixed and common fixed point theorems. Fixed Point Theory Appl. 2013, 19 (2013)
4. Karapinar, E., Kumam, P., Salimi, P.: On α-ψ-Meir–Keeler contractive mappings. Fixed Point Theory Appl. 2013, 94 (2013)
5. Salimi, P., Latif, A., Hussain, N.: Modified α-ψ-contractive mappings with applications. Fixed Point Theory Appl. 2013, 151 (2013)
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