Application of measure of noncompactness for the system of functional integral equations | Zendy

Reza Arab | Zendy

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Application of measure of noncompactness for the system of functional integral equations

Author(s) -

Reza Arab

Publication year - 2016

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/fil1611063a

Subject(s) - mathematics , fixed point theorem , measure (data warehouse) , compact space , integral equation , fixed point , point (geometry) , mathematical analysis , space (punctuation) , pure mathematics , discrete mathematics , computer science , database , operating system , geometry

In this paper we introduce the notion of the generalized Darbo xed point theorem and prove some fixed and coupled xed point theorems in Banch space via the measure of non-compactness, which generalize the result of Aghajani et al.[6]. Our results generalize, extend, and unify several well-known comparable results in the literature. As an application, we study the existence of solutions for the system of integral equations.

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