Approximate Selection Theorems and Their Applications
β Scribed by Xiyin Zheng
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 181 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
We prove three approximate selection theorems and give an improved version of the Michael selection theorem. As their applications, new fixed point theorems and equilibrium theorems for generalized games are established.
π SIMILAR VOLUMES
The purpose of this note is to show a new generalization of the continuous approximate selection theorem of F.
A minimax theorem is proved that contains Dini's convergence theorem as well as the StoneαWeierstrass approximation theorem as special cases.
The main aim of the paper is to present a general version of the Fourier Tauberian theorem for monotone functions. This result, together with Berezin's inequality, allows us to obtain a refined version of the Li-Yau estimate for the counting function of the Dirichlet Laplacian which implies the Li-Y
Some new generalized G-KKM and generalized S-KKM theorems are proved under the noncompact setting of generalized convex spaces. As applications, some new minimax inequalities, saddle point theorems, a coincidence theorem, and a fixed point theorem are given in generalized convex spaces. These theore