Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications | Zendy

Nayyar Mehmood | Zendy; Israr Ali Khan | Zendy; Haris Latif | Zendy; Niaz Ahmad | Zendy

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Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications

Author(s) -

Nayyar Mehmood,

Israr Ali Khan,

Haris Latif,

Niaz Ahmad

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/5974285

Subject(s) - mathematics , fixed point theorem , metric space , schauder fixed point theorem , matching (statistics) , discrete mathematics , pure mathematics , metric (unit) , brouwer fixed point theorem , statistics , operations management , economics

We study Knaster-Kuratowski-Mazurkiewicz theorem in the setting of generalized metric spaces. We establish some results on fixed points of Knaster-Kuratowski-Mazurkiewicz (KKM) mappings. Fan’s matching and Schauder’s type fixed point theorem in generalized metric spaces are also proved as interesting consequences of our main results. Examples are given to validate our results. We use these results to prove existence result for a given Atangana-Baleanu-Caputo fractional boundary value problem.

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