On Multivalued Hybrid Contractions with Applications

On Multivalued Hybrid Contractions with Applications

Recently, a notion of b-hybrid contraction for single-valued mappings in the framework of b-metric spaces which unify and improve several significant existing results in the corresponding literature was introduced. This paper presents a multivalued generalization for such contraction. Moreover, one...

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Veröffentlicht in:Journal of function spaces 2020, Vol.2020 (2020), p.1-12
Hauptverfasser: Hussain, Nawab, Azam, Akbar, Mohammed, Shehu Shagari, Alansari, Monairah
Format: Artikel
Sprache:eng
Schlagworte:
Control theory
Fuzzy sets
Hypotheses
Inclusions
Metric space
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Zusammenfassung:Recently, a notion of b-hybrid contraction for single-valued mappings in the framework of b-metric spaces which unify and improve several significant existing results in the corresponding literature was introduced. This paper presents a multivalued generalization for such contraction. Moreover, one of our obtained results is applied to analyze some solvability conditions of Fredholm-type integral inclusions. Nontrivial examples are also provided to support the assertions of our theorems.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/8401403