Minimum selections and fixed points of set-valued operators in Banach spaces with some uniform convexity

DOI10.1016/j.amc.2010.12.082zbMath1231.47052OpenAlexW2000818106MaRDI QIDQ628997

Xing-Hua Zhu, Jian-Zhong Xiao

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.082

zbMATH Keywords

Banach spacetopological spaceset-valued operatorminimum selectionweakly uniformly convex space

Mathematics Subject Classification ID

Set-valued operators (47H04) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Variational and other types of inclusions (47J22)

Related Items (1)

Approximation of common fixed points of asymptotically nonexpansive cosine family based on modified Ishikawa iterations

Cites Work

• Continuous selections. I
• New fixed point theorems for 1-set-contractive operators in Banach spaces
• Sadovskii's fixed point theorem without convexity
• Geometric properties of Banach spaces and nonlinear iterations
• Continuous selections and reflexive Banach spaces
• Condensing mappings and the Leray-Schauder boundary condition
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• Set-valued analysis
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