Equivalent contractive conditions in symmetric spaces
β Scribed by Jiang Zhu; Yeol Je Cho; Shin Min Kang
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 431 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, we introduce 22 contractive conditions in symmetric spaces. We prove that all these contractive conditions are equivalent. Then we use these conditions to get some common fixed point theorems for noncompatible maps. @
π SIMILAR VOLUMES
## Abstract We study contractive, existence and optimal sets in modular spaces. We define the analogous classes of sets with respect to a modular and generalize a number of results due to Beauzamy and Maurey [3] and Bruck [9] to modular spaces. We then apply them to show that in certain KΓΆthe seque
In this paper we construct new examples of symmetric non-totally geodesic submanifolds in irreducible symmetric spaces of non-compact type and of rank 2. These symmetric spaces are characterized by the fact that they contain a reflective submanifold with one-dimensional Euclidean factor; they are li