Fixed point theorems for generalized weakly contractive mappings
β Scribed by Binayak S. Choudhury; P. Konar; B.E. Rhoades; N. Metiya
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 243 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
The purpose of this paper is to present some fixed point theorems for weakly contractive maps in a complete metric space endowed with a partial order.
a b s t r a c t Fixed point and coincidence results are presented for single-valued generalized Ο f -weakly contractive mappings on complete metric spaces (X, d), where Ο : [0, β) β [0, β) is a lower semicontinuous function with Ο(0) = 0 and Ο(t) > 0 for all t > 0 and f : E β X is a function such th
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-
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