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Start Over Topic banach algebras Topic nonlinear operators Publication Year Range Last 10 years Journal miskolc mathematical notes

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1. ON THE EXISTENCE OF SOLUTIONS FOR AN INFINITE SYSTEM OF INTEGRAL EQUATIONS.

Author

MEFTEH, BILEL

Subjects
*INFINITY (Mathematics), *BANACH algebras, *BANACH spaces, *INTEGRALS, *FIXED point theory, *NONLINEAR operators
Abstract

The paper is devoted to prove the existence of solutions for an infinite system of non- linear integral equations. This system is investigated in the WC-Banach algebra C(I; c0), the space of all continuous functions acting from an interval I into the sequence space c0. Making use of the measure of weak noncompactness and the weak topology, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operat- ors acting onWC-Banach algebra involving w-contractive operators. [ABSTRACT FROM AUTHOR]

Published
2023
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