Nonstrictly Convex Minimization over the Bounded Fixed Point Set of a Nonexpansive Mapping

DOI10.1081/NFA-120020250zbMath1034.47043MaRDI QIDQ4413519

Isao Yamada, Nobuhiko Ogura

Publication date: 20 July 2003

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

zbMATH Keywords

fixed point setvariational inequality problemexpansive mappingshybrid steepest descent

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

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• On the Convergence of the Products of Firmly Nonexpansive Mappings
• Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
• Quadratic optimization of fixed points of nonexpansive mappings in hubert space
• NON-STRICTLY CONVEX MINIMIZATION OVER THE FIXED POINT SET OF AN ASYMPTOTICALLY SHRINKING NONEXPANSIVE MAPPING
• On Projection Algorithms for Solving Convex Feasibility Problems
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE

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