On the Metric Projection Operator and Its Applications to Solving Variational Inequalities in Banach Spaces

DOI10.1080/01630560802000926zbMath1154.47046OpenAlexW2164154509MaRDI QIDQ3506291

Xinhua Ma, Li, Jinlu, Cong-Jun Zhang

Publication date: 12 June 2008

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

Full work available at URL: https://doi.org/10.1080/01630560802000926

zbMATH Keywords

fixed pointvariational inequalitymetric projectionLeray-Schauder type alternative

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items (2)

Weak-star dentability, quasi-weak-star near dentability and continuity of metric projector in Banach spaces ⋮ Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Comments on two fixed point iteration methods
• Leray-Schauder type alternatives and the solvability of complementarity problems
• The generalized projection operator on reflexive Banach spaces and its applications
• On the existence of solutions of variational inequalities in Banach spaces
• On the projection methods for fixed point problems
• Complementarity problems
• Fixed point theorems in locally \(G\)-convex spaces

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