On generalized α-ψ-Geraghty contractions on b-metric spaces

By H. Afshari, Hassen Aydi, E. Karapınar. 2018

109 citations recorded by the source corpus.

Abstract In this paper, we consider generalized α - ψ {\alpha-\psi} -Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4c206a67e8ad649395a756f30f5da467015347dd

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In Geometry and Topology

1. Stojan Radenovic
2. Zoran Kadelburg
3. Nawab Hussain
4. Peyman Salimi
5. Nguyen Van Dung

Citations in the corpus

• Notes on Some Recent Papers Concerning $F$-Contractions in $b$-Metric Spaces (2018, methodology): “Further, their approach was used in the papers [1, 2, 8, 10, 11, 12, 13, 14, 15, 16] to obtain various fixed point results, mostly for multivalued mappings.”