New fixed point theorems for set-valued contractions in b-metric spaces

By Radu Miculescu, A. Mihail. 2015

159 citations recorded by the source corpus.

In this paper, we indicate a way to generalize a series of fixed point results in the framework of b-metric spaces and we exemplify it by extending Nadler’s contraction principle for set-valued functions (see Nadler, Pac J Math 30:475–488, 1969) and a fixed point theorem for set-valued quasi-contraction functions due to Aydi et al. (see Fixed Point Theory Appl 2012:88, 2012).

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e33d483526796a37a0ac074eb6b01f26ca28593f

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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, background): “[18, 9] Let (X, b, s) be a b-metric space and let {xn} be a sequence in X .”