A generalization to multifunctions of Fan’s best approximation theorem

Sehgal, V. M.; Singh, S. P.

doi:10.1090/S0002-9939-1988-0928974-5

A generalization to multifunctions of Fan’s best approximation theorem
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by V. M. Sehgal and S. P. Singh PDF

Proc. Amer. Math. Soc. 102 (1988), 534-537 Request permission

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.

References

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