Fixed point theorems involving 1-set-weakly contractive operators in WC-Banach algebras


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	Fixed point theorems involving 1-set-weakly contractive operators in WC-Banach algebras


	Fixed Point Theory, Volume 20, No. 2, 2019, 541-558, June 1st, 2019 DOI: 10.24193/fpt-ro.2019.2.35 Authors: Bilel Krichen, Bilel Mefteh and Donal O'Regan Abstract: In this paper, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC-Banach algebra and involving 1-set-weakly contractive maps. The obtained results are applied to a nonlinear functional integral equation in a suitable Banach algebra. Our results are extensions of several earlier results. Key Words and Phrases: WC-Banach algebra, fixed point theorems, weak topology, measure of weak noncompactness, 1-set-weakly contractive. 2010 Mathematics Subject Classification: 47A10, 47A55, 47A53. Published on-line: June 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents