Approximate selections, best approximations, fixed points, and invariant sets
โ Scribed by Simeon Reich
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 605 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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We prove a common fixed-point theorem generalizing results of Dotson and Habiniak. Using this result, we extend, generalize, and unify well known results on fixed points and common fixed points of best approximation. 1996 Academic Press, Inc. ## 1. Introduction Let X be a normed linear space, D a
As an application of our random variational inequality proved in this paper, the random versions of Fan's best approximation theorem for both single-valued and set-valued mappings are given. These results, in turn, are used to derive some random fixed point theorems for both nonself single-valued an