Existence theorems for set-valued operators in Banach spaces

DOI10.1007/s11228-006-0030-8zbMath1133.47035OpenAlexW1984465325MaRDI QIDQ2460924

Yanyan Li

Publication date: 19 November 2007

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-006-0030-8

zbMATH Keywords

monotonefixed pointduality mappingnormal conezero pointupper semicontinuous

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items

Strong convergence of a hybrid projection iterative algorithm for common solutions of operator equations and of inclusion problems ⋮ A new hybrid general iterative algorithm for common solutions of generalized mixed equilibrium problems and variational inclusions ⋮ The existence of zeros of set-valued mappings in reflexive Banach spaces ⋮ Existence of zero points for pseudomonotone operators in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• General existence theorem of zero points
• On the existence of zeros of monotone operators in reflexive Banach spaces
• Browder-Hartman-Stampacchia variational inequalities for multi-valued monotone operators
• Nonlinear complementarity problem and systems of convex inequalities
• Existence of zeros for operators taking their values in the dual of a Banach space
• The fixed point theory of multi-valued mappings in topological vector spaces
• A generalization of Brouwer's fixed point theorem
• Mathematical methods of game and economic theory
• On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces
• Constrained Equilibrium Point of Maximal Monotone Operator Via Variational Inequality
• A fixed point index for generalized inward mappings of condensing type
• An equilibrium theorem for subdifferential
• Continuum of Zero Points of a Mapping on a Compact, Convex Set
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• A Fixed-Point Theorem for Inward and Outward Maps
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Set-valued analysis

This page was built for publication: Existence theorems for set-valued operators in Banach spaces