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In this paper, we establish some new nonlinear Leray-Schauder alternatives for the sum and the product of weakly sequentially continuous operators in Banach algebras satisfying certain sequential condition (P). The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness.
Amro Alsheikh Ali, Afif Ben Amar
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Measures of weak noncompactness and fixed point theory in banach algebras satisfying condition (P)
2017The 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.
Ben Amar, Afif, O’Regan, Donal
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Measure of super weak noncompactness in some Banach sequence spaces
Journal of Mathematical Analysis and Applications, 2021Kun Tu
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On countable determination of the Kuratowski measure of noncompactness
Journal of Mathematical Analysis and Applications, 2021Xiaoling Chen, Lixin Cheng
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Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations
Axioms, 2020Ahmed Salem, Mohammad Alnegga
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Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means
Computers and Mathematics With Applications, 2010M Mursaleen
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Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means
Computers and Mathematics With Applications, 2011M Mursaleen
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