Minimax Theorems with Bregman Distance in Banach Spaces

DOI10.1080/01630563.2015.1078814zbMath1353.46055OpenAlexW2230926123MaRDI QIDQ2805977

Lai-Jiu Lin, Chih-Sheng Chuang

Publication date: 13 May 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1078814

zbMATH Keywords

duality mappingminimax theoremBregman distance

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

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• Some minimax problems of vector-valued functions
• Some minimax theorems in vector-valued functions
• Minimax theorems for set-valued mappings.
• Minimax theorems and cone saddle points of uniformly same-order vector- valued functions
• Existence and uniqueness of solution for quasi-equilibrium problems and fixed point problems on complete metric spaces with applications
• The strong minimax theorem and strong saddle points of vector-valued functions
• Uniformly convex functions on Banach spaces
• Generalized distance and existence theorems in complete metric spaces

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