An extension of Darbo fixed point theorem and its applications to coupled fixed point and integral equations | Zendy

Ayub Samadi | Zendy; Mohammad Bagher Ghaemi | Zendy

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An extension of Darbo fixed point theorem and its applications to coupled fixed point and integral equations

Author(s) -

Ayub Samadi,

Mohammad Bagher Ghaemi

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1404879s

Subject(s) - mathematics , fixed point theorem , extension (predicate logic) , fixed point , integral equation , schauder fixed point theorem , mathematical proof , brouwer fixed point theorem , measure (data warehouse) , picard–lindelöf theorem , kakutani fixed point theorem , fixed point property , mathematical analysis , calculus (dental) , computer science , geometry , medicine , dentistry , database , programming language

In this paper, an extension of Darbo fixed point theorem is introduced. By applying our extension, we obtain a coupled fixed point theorem and a solution for an integral equation. The proofs of our results are based on the technique of measure of noncompactness.

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