In this paper, we introduce a condition on multivalued mappings which is a multivalued version of condition (C Ξ» ) defined by Garcia-Falset et al. (2011) [3]. It is shown here that some of the classical fixed point theorems for multivalued nonexpansive mappings can be extended to mappings satisfying
β¦ LIBER β¦
Fixed point theorems for two new classes of multivalued mappings
β Scribed by Mujahid Abbas; B.E. Rhoades
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 336 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
The notions of weak*-nonexpansive mapping and generalized R-multivalued mapping are introduced. Fixed points, common fixed points and some properties of the set of fixed points (common fixed points) of these maps are studied.
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In this paper, we first establish some new types of fixed point theorems for nonlinear multivalued maps in cone metric spaces. From those results, we obtain new fixed point theorems for nonlinear multivalued maps in metric spaces and the generalizations of Mizoguchi-Takahashi's fixed point theorem a