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On Minimax Inequalities in Topological Spaces Without Convexity Structure
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H.-S. Lu
Published/Copyright:
June 9, 2010
Abstract
In this paper, we give a new nonempty intersection theorem in general topological spaces without convexity structure. As its applications, some new minimax inequalities are obtained in general topological spaces without convexity structure.
Key words and phrases.: Intersection theorem; minimax inequality; transfer compactly closed-valued (open-valued); acyclic set; set-valued mapping
Received: 2005-03-22
Revised: 2005-10-12
Published Online: 2010-06-09
Published in Print: 2007-June
© Heldermann Verlag
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Keywords for this article
Intersection theorem;
minimax inequality;
transfer compactly closed-valued (open-valued);
acyclic set;
set-valued mapping
Articles in the same Issue
- Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces
- A Criterion of Joint ℂ-Differentiability and a New Proof of Hartogs' Main Theorem
- On a Jensen Type Functional Equation
- Random Partition and Stochastic Integration in Finite von Neumann Algebras
- On Multivalued Cosine Families
- A Fixed Point Theorem for Triangular Mappings
- A Criterion for Local Resolvability of a Space and the w-Problem
- On Hörmander-Beurling Spaces
- Second Order Mixed Symmetric Duality in Non-Differentiable Multi-Objective Mathematical Programming
- On Minimax Inequalities in Topological Spaces Without Convexity Structure