The purpose of this paper is to introduce and study a class of set-valued variational inclusions without compactness condition in Banach spaces. By using Michael's selection theorem and Nadler's theorem, an existence theorem and an iterative algorithm for solving this kind of set-valued variational
✦ LIBER ✦
On Smooth Variational Principles in Banach Spaces
✍ Scribed by M. Fabian; P. Hájek; J. Vanderwerff
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 210 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0022-247X
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## Abstract Let __X__ be a real Banach space, __ω__ : [0, +∞) → ℝ be an increasing continuous function such that __ω__(0) = 0 and __ω__(__t__ + __s__) ≤ __ω__(__t__) + __ω__(__s__) for all __t__, __s__ ∈ [0, +∞). According to the infinite dimensional analog of the Osgood theorem if ∫^1^~0~ (__ω__(_
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