Vol. 18(2017) No. 1

 

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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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