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1. 

   On some parameters related to weak noncompactness in L¹(μ,E)

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Diana Caponetti --- Department of Mathematics, Italy

   A weak measure of noncompactness γU is defined in a Banach space in terms of convex compactness. We obtain relationships between the measure γU (A) of a bounded set A in the Bochner space L1 (μ,E) and two parameters Π(A)...

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2. 

   Convergence of Ishikawa iterations on noncompact sets

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Simba A. Mutangadura --- Department of Mathematics & Applied Mathematics, South Africa

   Recall that Ishikawa's theorem [4] provides an iterative procedure that yields a sequence which converges to a fixed point of a Lipschitz pseudocontrative map T: C →C, where C is a compact convex subset of a Hilbert space X. The...

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3. 

   Measures of weak noncompactness, nonlinear leray-schauder alternatives in banach algebras satisfying condition (p) and an application

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Amro Alsheikh Ali --- , , Tunisia Afif Ben Amar --- , , Tunisia

   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...

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