Open AccessGeneralized form of fixed point theorems in Banach algebras under weak topology with an application
Author(s) -
Najib Kaddachi
Publication year - 2019
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/fil1913281k
Subject(s) - mathematics , fixed point theorem , fixed point , pure mathematics , block (permutation group theory) , banach space , operator (biology) , nonlinear system , topology (electrical circuits) , mathematical analysis , combinatorics , repressor , quantum mechanics , transcription factor , gene , biochemistry , chemistry , physics
In this manuscript, by means of the technique of measures of weak noncompactness, we establish a generalized form of fixed point theorems for a 2 x 2 block operator matrix involving multivalued maps acting on suitable Banach algebras. The results obtained are then applied to a coupled system of nonlinear integral equations.