Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings

This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity in the Banach spaces setting. Using this proper...

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Published in:Journal of fixed point theory and applications 2021-08, Vol.23 (3), Article 40
Main Authors: Benavides, T. Domínguez, Ramírez, P. Lorenzo
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Language:English
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Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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description This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity in the Banach spaces setting. Using this property, we state several new fixed point theorems for multivalued nonexpansive mappings in modular spaces.
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Mathematics
Mathematics and Statistics
title Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
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