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Coincidence theorems for set-valued maps with g-kkm property on generalized convex space

Lai-Jiu Lin; Ching-Jung Ko; Sehie Park — 1998

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, a set-valued mapping with G-KKM property is defined and a generalization of minimax theorem for set-valued maps with G-KKM property on generalized convex space is established. As a consequence of this results we verify the coincidence theorem for set-valued maps with G-KKM property on G-convex space. Finally, we apply our results to the best approximation problem and fixed point problem.

Saddle point problems, bilevel problems, and mathematical program with equilibrium constraint on complete metric spaces.

Lin, Lai-Jiu; Chuang, Chih-Sheng — 2010

Journal of Inequalities and Applications [electronic only]

Coincidence theorems for families of multimaps and their applications to equilibrium problems.

Lin, Lai-Jiu; Chen, Hsin I — 2003

Abstract and Applied Analysis

Common fixed point theorems for a finite family of discontinuous and noncommutative maps.

Lin, Lai-Jiu; Wang, Sung-Yu — 2011

Fixed Point Theory and Applications [electronic only]

Critical point theorems and Ekeland type variational principle with applications.

Lin, Lai-Jiu; Wang, Sung-Yu; Ansari, Qamrul Hasan — 2011