Geodesic
Fixed point theorems in WC–Banach algebras and their applications to infinite systems of integral equations
Filomat, Tome 34 (2020) no. 8, p. 2763

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DOI

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.
DOI : 10.2298/FIL2008763B
Classification : 47H10, 47H08, 47H09, 45G15
Keywords: Fixed point theorem, WC–Banach algebra, Condition (H1), Condition (H2), Measure of weak noncompactness, Infinite system of integral equations 
Józef Banaś; Bilel Krichen; Bilel Mefteh. Fixed point theorems in WC–Banach algebras and their applications to infinite systems of integral equations. Filomat, Tome 34 (2020) no. 8, p. 2763 . doi: 10.2298/FIL2008763B
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     title = {Fixed point theorems in {WC{\textendash}Banach} algebras and their applications to infinite systems of integral equations},
     journal = {Filomat},
     pages = {2763 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008763B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008763B/}
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