Convexification of super weakly compact sets and measure of super weak noncompactness
Copyright policy )Convexification of super weakly compact sets and measure of super weak noncompactness
In the paper, we give a quantitative version of the positive answer to the open question about the convex hull of a super weakly compact set. Measure of super weak noncompactness σ \sigma is introduced and proved to share several nice properties with the Hausdorff measure of noncompactness. As an application, a fixed point theorem for σ \sigma -condensing maps is given.
- Yangzhou University China (People's Republic of)
Fixed-point theorems, measure of super weak noncompactness, fixed point theorem, Local theory of Banach spaces, Compactness in topological linear spaces; angelic spaces, etc., Compactness in Banach (or normed) spaces, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
Fixed-point theorems, measure of super weak noncompactness, fixed point theorem, Local theory of Banach spaces, Compactness in topological linear spaces; angelic spaces, etc., Compactness in Banach (or normed) spaces, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.
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