Convexity and optimization in banach spaces
- Publisher
- Springer Netherlands
- Year
- 1991
- Tongue
- English
- Weight
- 55 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0167-8019
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โฆ Synopsis
We should like to mention the originality of the treatment of many problems as well as the fact that many results are due to the author.
๐ SIMILAR VOLUMES
In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality con
and 0 < e < 2 is the modulus of convexity of X. The best results so far about the relationship between normal structure and the modulus of convexity of X are that for any Banach space X either 6(1) > 0 or 6(3/2) > 1/4 implies X has normal structure. We generalize the above results in this paper to p