Geometric properties of d and a continuous selection theorem

1970 ◽  
pp. 36-38
Author(s):  
Herbert S. Bear
Keyword(s):  
Continuous Selection ◽  
Selection Theorem ◽  
Geometric Properties ◽  
Continuous Selection Theorem

scholarly journals Some New Coincidence Theorems in Product GFC-Spaces with Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Jianrong Zhao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Continuous Selection ◽  
Selection Theorem ◽  
Coincidence Theorems ◽  
Continuous Selection Theorem

We first propose a new concept of GFC-subspace. Using this notion, we obtain a new continuous selection theorem. As a consequence, we establish some new collective fixed point theorems and coincidence theorems in product GFC-spaces. Finally, we give some applications of our theorems.

The continuous selection theorem in n

1986 ◽  
Vol 20 (1) ◽  
pp. 59-61 ◽  
Author(s):  
Wolfgang Leininger
Keyword(s):  
Continuous Selection ◽  
Selection Theorem ◽  
Continuous Selection Theorem

scholarly journals Continuous selection theorem, coincidence theorem and intersection theorems concerning sets with H-convex sections

1992 ◽  
Vol 52 (1) ◽  
pp. 11-25 ◽  
Author(s):  
Xie-Ping Ding
Keyword(s):  
Continuous Selection ◽  
Minimax Principle ◽  
Selection Theorem ◽  
Coincidence Theorem ◽  
Continuous Selection Theorem

AbstractA continuous selection and a coincidence theorem are proved in H-spaces which generalize the corresponding results of Ben-El-Mechaiekh-Deguire-Granas, Browder, Ko-Tan, Lassonde, Park, Simon and Takahashi to noncompact and/or nonconvex settings. By applying the two theorems, some intersection theorems concerning sets with H-convex sections are obtained which generalize the corresponding results of Fan, Lassonde and Shih-Tan to H-spaces. Some applications to minimax principle are given.

scholarly journals Equilibrium existence under generalized convexity

2012 ◽  
Vol 20 (3) ◽  
pp. 95-110
Author(s):  
Monica Patriche
Keyword(s):  
Generalized Convexity ◽  
Existence Theorems ◽  
Continuous Selection ◽  
Weakly Convex ◽  
Selection Theorem ◽  
Equilibrium Existence ◽  
Abstract Economy ◽  
Economic Interpretation ◽  
The Game Theory ◽  
Abstract Economies

Abstract We introduce, in the first part, the notion of weakly convex pair of correspondences, we give its economic interpretation, we state a fixed point and a selection theorem. Then, by using a tehnique based on a continuous selection, we prove existence theorems of quilibrium for an abstract economy. In the second part, we define the weakly biconvex correspondences, we prove a selection theorem and we also demonstrate the existence of equilibrium for a generalized quasi-game (2003 Kim's model). In the last part of the paper, we give other applications in the game theory, finding equilibrium for abstract economies having correspondences with weakly convex graph. We show that the equilibrium exists without continuity assumptions.

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