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Measures of weak noncompactness and fixed point theory in Banach algebras satisfying condition (P) | |
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Fixed Point Theory, Volume 18, No. 1, 2017, 37-46, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.04 Authors: Afif Ben Amar and Donal O'Regan Abstract: The aim of this paper is to prove some new fixed point theorems in a nonempty closed convex subset of a Banach algebra satisfying a sequential condition (P) in a weak topology setting. Key Words and Phrases: Measure of weak noncompactness, quasi-regular, weakly condensing, weakly sequentially continuous, relatively weakly compact, fixed point theorems. 2010 Mathematics Subject Classification: 47H08, 47H09, 47H10. Published on-line: March 1st, 2017.
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