In this paper, the concept of a set-valued contractive mapping is considered by using the idea of a generalized distance, such as the Ο -distance, in metric spaces without using the concept of the Hausdorff metric. Furthermore, under some mild conditions, we provide the existence theorems for fixed-
β¦ LIBER β¦
Some fixed point theorems for contractive multi-valued mappings induced by generalized distance in metric spaces
β Scribed by Soawapak Hirunworakit; Narin Petrot
- Book ID
- 115021627
- Publisher
- Springer International Publishing AG
- Year
- 2011
- Tongue
- English
- Weight
- 180 KB
- Volume
- 2011
- Category
- Article
- ISSN
- 1687-1820
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In [N. Mizoguchi, W. Takahashi, Fixed point theorems for multi-valued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989) 177-188] the authors gave a positive answer to the conjecture of S. Reich concerning the existence of fixed points of multi-valued mappings that satisfy certain c