Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems

By applying hybrid inclusion and disclusion systems (HIDS), we establish several vectorial variants of system of Ekeland's variational principle on topological vector spaces, some existence theorems of system of parametric vectorial quasi-equilibrium problem, and an existence theorem of system...

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Bibliographic Details
Main Author: Wei-Shih Du
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/247236