## Abstract and Applied Analysis

### Class 𝔄-$KKM(X,Y,Z)$, General $KKM$ Type Theorems, and Their Applications in Topological Vector Space

#### Abstract

The class 𝔄-$KKM(X,Y,Z)$ and generalized $KKM$ mapping are introduced, and some generalized $KKM$ theorems are proved. As applications, Ky Fan’s matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 238191, 10 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412606937

Digital Object Identifier
doi:10.1155/2014/238191

Mathematical Reviews number (MathSciNet)
MR3208521

#### Citation

Tang, Gusheng; Zhang, Qingbang. Class 𝔄 - $KKM(X,Y,Z)$ , General $KKM$ Type Theorems, and Their Applications in Topological Vector Space. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 238191, 10 pages. doi:10.1155/2014/238191. https://projecteuclid.org/euclid.aaa/1412606937

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