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On Maximal Element Problem and Quasi-Variational Inequality Problem in L.C. Metric Spaces
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H.-l. Zhang
Published/Copyright:
June 9, 2010
Abstract
In this paper, we give two new maximal element theorems in l.c. metric spaces, and as their applications, a new coincidence theorem and two new existence theorems of solutions for generalized quasivariational inequalities are obtained.
Key words and phrases.: l.c. metric space; locally uniformly weak lower semicontinuous multivalued mapping; maximal element
Received: 2001-07-02
Revised: 2002-07-30
Published Online: 2010-06-09
Published in Print: 2003-June
© Heldermann Verlag
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Keywords for this article
l.c. metric space;
locally uniformly weak lower semicontinuous multivalued mapping;
maximal element
Articles in the same Issue
- Skew Products of Ideals
- Crowded and Selective Ultrafilters under the Covering Property Axiom
- Solution of the Stieltjes Truncated Moment Problem
- Minimax Solutions of the Dual Hamilton-Jacobi Equation
- Nonexistence of Global Solutions to a Class of Nonlinear Differential Inequalities and Application to Hyperbolic–Elliptic Problems
- Functions of Two Variables Whose Vertical Sections Are Equiderivatives
- On Maximal Element Problem and Quasi-Variational Inequality Problem in L.C. Metric Spaces
- On a Certain Generalization of the Krasnosel'skii Theorem