Saddle point problems, bilevel problems, and mathematical program with equilibrium constraint on complete metric spaces.
Coincidence theorems for families of multimaps and their applications to equilibrium problems.
Common fixed point theorems for a finite family of discontinuous and noncommutative maps.
Critical point theorems and Ekeland type variational principle with applications.
Coincidence theorems for set-valued maps with g-kkm property on generalized convex space
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.
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