We prove a general form of a fixed point theorem for mappings from a Riemannian manifold into itself which are obtained as perturbations of a given mapping by means of general operations which in particular include the cases of sum (when a Lie group structure is given on the manifold) and compositio
β¦ LIBER β¦
Fixed-point theories on noncompact manifolds
β Scribed by Shmuel Weinberger
- Book ID
- 107508529
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 194 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1661-7738
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In this paper, by applying the technique of continuous partition of unity and Tychonoff's fixed-point theorem, some new collectively fixed-point theorems for a family of set-valued mappings defined on the product space of noncompact G-convex spaces are proved. Our theorems improve, unify, and genera