A Fixed Point Theorem in Probabilistic Metric Spaces and an Application
✍ Scribed by E. Pap; O. Hadžić; R. Mesiar
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 198 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
The notion of a ⌿, C -contraction type multivalued mapping is introduced. This notion is a generalization of the notion of C-contraction introduced by T. L. Hicks Ž .
📜 SIMILAR VOLUMES
The main purpose of this paper is to introduce the concept of F-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point theorem, respectively.
The purpose of this paper is to provide an application of a non-compact version, due to Park, of Browder's fixed point theorem to generalized variational inequalities. In a non-compact setting, we establish a fairly general existence theorem on a generalized variational inequality using the result o