A generalization to multifunctions of Fan’s best approximation theorem-Reference-Cited by-同舟云学术

A generalization to multifunctions of Fan’s best approximation theorem

Published:1988 Issue:3 Volume:102 Page:534-537
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Sehgal V. M.,Singh S. P.

Abstract

We prove a theorem for set valued mappings in an approximatively compact, convex subset of a locally convex space, and then derive results due to Ky Fan and S. Reich as corollaries.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-102-03/S0002-9939-1988-0928974-5/S0002-9939-1988-0928974-5.pdf

Reference9 articles.

1. Extensions of two fixed point theorems of F. E. Browder;Fan, Ky;Math. Z.,1969

2. Fixed points of compact multifunctions;Himmelberg, C. J.;J. Math. Anal. Appl.,1972

3. The University Series in Higher Mathematics;Kelley, J. L.,1963

4. A note on a theorem of Ky Fan;Lin, Tzu Chu;Canad. Math. Bull.,1979

5. Approximate selections, best approximations, fixed points, and invariant sets;Reich, Simeon;J. Math. Anal. Appl.,1978

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