Fixed Points of Multi-valued Maps and Static Coulomb Friction Problems
โ Scribed by Patrick J. Rabier; Ovidiu V. Savin
- Book ID
- 110252336
- Publisher
- Springer Netherlands
- Year
- 2000
- Tongue
- English
- Weight
- 165 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0374-3535
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In a recent paper \(\mathrm{N}\). Mizoguchi and \(\mathrm{W}\). Takahashi gave a positive answer to the conjecture of \(\mathrm{S}\). Reich concerning the existence of fixed points of multi-valued mappings that satisfy a certain contractive condition. In this paper, we provide an alternative and som
Coincidence and fixed point theorems for single-valued and multi-valued maps generalizing recent results of Suzuki and Kikkawa are obtained. Various applications, including the existence of common solutions of certain functional equations are presented.
Using certain weak conditions of commutativity we prove some common fixed point theorems in complete metrically convex spaces which, in turn, generalize results due to Assad and Kirk, Itoh, Khan, and several others.