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2009 COINCIDENCE THEOREMS ON NONCONVEX SETS AND ITS APPLICATIONS
Chi-Ming Chen, Tong-Huei Chang, Chiao-Wei Chung
Taiwanese J. Math. 13(2A): 501-513 (2009). DOI: 10.11650/twjm/1500405352

Abstract

In this paper, we establish some coincidence theorems, generalized variational inequality theorems and minimax inequality theorems for the family $KKM^{∗}(X, Y)$ and the generalized Φ-mapping on a nonconvex set.

Citation

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Chi-Ming Chen. Tong-Huei Chang. Chiao-Wei Chung. "COINCIDENCE THEOREMS ON NONCONVEX SETS AND ITS APPLICATIONS." Taiwanese J. Math. 13 (2A) 501 - 513, 2009. https://doi.org/10.11650/twjm/1500405352

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1176.47038
MathSciNet: MR2500003
Digital Object Identifier: 10.11650/twjm/1500405352

Subjects:
Primary: 47H10 , ‎54C60‎ , 54H25 , ‎55M20

Keywords: $KKM^*(X,y)$ , almost-convex set , coincidence theorem , generalized $\Phi$-mapping , minimax theorem , variational inequality theorem

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 2A • 2009
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