Solvability of integrodifferential problems via fixed point theory in b-metric spaces

By M. Cosentino, Mohamed Jleli, Bessem Samet, Calogero Vetro. Fixed Point Theory and Applications, 2015

69 citations recorded by the source corpus.

The purpose of this paper is to study the existence of solutions set of integrodifferential problems in Banach spaces. We obtain our results by using fixed point theorems for multivalued mappings, under new contractive conditions, in the setting of complete b-metric spaces. Also, we present a data dependence theorem for the solutions set of fixed point problems.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6aeffa3226b4e4bd0cc105d72a8f82bd20d23c41

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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): “4] (since again just the condition (F1) of function F will be assumed); moreover the proof will again be much shorter than in [5].”