Equilibria of abstract economies with applications

Chien Hao Huang; Liang Ju Chu

Equilibria of abstract economies with applications

Chien Hao Huang
, Liang Ju Chu^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In a recent paper, we established a common existence theorem of maximal elements for majorized Q_α-condensing mappings in L.c.-spaces. As an application, we derive a new existence theorem of equilibria for noncompact abstract economies. Finally, the existence of solutions for a system of generalized quasi-variational inequalities in L.C.-spaces are also derived.

Original language	English
Pages (from-to)	63-70
Number of pages	8
Journal	Journal of Nonlinear and Convex Analysis
Volume	14
Issue number	1
Publication status	Published - 2013 Jan

Keywords

Abstract economy
Equilibrium point
L.c.-space
Maximal element
Quasivariational inequalities

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "Equilibria of abstract economies with applications",

abstract = "In a recent paper, we established a common existence theorem of maximal elements for majorized Qα-condensing mappings in L.c.-spaces. As an application, we derive a new existence theorem of equilibria for noncompact abstract economies. Finally, the existence of solutions for a system of generalized quasi-variational inequalities in L.C.-spaces are also derived.",

keywords = "Abstract economy, Equilibrium point, L.c.-space, Maximal element, Quasivariational inequalities",

author = "Huang, \{Chien Hao\} and Chu, \{Liang Ju\}",

year = "2013",

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language = "English",

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journal = "Journal of Nonlinear and Convex Analysis",

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AU - Huang, Chien Hao

AU - Chu, Liang Ju

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N2 - In a recent paper, we established a common existence theorem of maximal elements for majorized Qα-condensing mappings in L.c.-spaces. As an application, we derive a new existence theorem of equilibria for noncompact abstract economies. Finally, the existence of solutions for a system of generalized quasi-variational inequalities in L.C.-spaces are also derived.

AB - In a recent paper, we established a common existence theorem of maximal elements for majorized Qα-condensing mappings in L.c.-spaces. As an application, we derive a new existence theorem of equilibria for noncompact abstract economies. Finally, the existence of solutions for a system of generalized quasi-variational inequalities in L.C.-spaces are also derived.

KW - Abstract economy

KW - Equilibrium point

KW - L.c.-space

KW - Maximal element

KW - Quasivariational inequalities

UR - https://www.scopus.com/pages/publications/84894094442

UR - https://www.scopus.com/pages/publications/84894094442#tab=citedBy

M3 - Article

AN - SCOPUS:84894094442

SN - 1345-4773

VL - 14

SP - 63

EP - 70

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 1

ER -

Equilibria of abstract economies with applications

Abstract

Keywords

ASJC Scopus subject areas

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