Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations | Zendy

Józef Banaś | Zendy; Bilel Krichen | Zendy; Bilel Mefteh | Zendy

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Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations

Author(s) -

Józef Banaś,

Bilel Krichen,

Bilel Mefteh

Publication year - 2020

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/fil2008763b

Subject(s) - mathematics , lipschitz continuity , fixed point theorem , fixed point , nonlinear system , pure mathematics , banach space , point (geometry) , integral equation , mathematical analysis , physics , quantum mechanics , geometry

The paper is devoted to prove a few fixed point theorems for operators acting in WC–Banach algebras and satisfying some conditions expressed in terms of a generalized Lipschitz continuity and measures of weak noncompactness. Moreover, the assumptions imposed on the mentioned operators are formulated with help of weak topology and weak sequential continuity. Our fixed point results will be illustrated by proving the existence of solutions of an infinite system of nonlinear integral equations.

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