A fixed point theorem in probabilistic metric spaces with a convex tructure(Conference Paper)
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- Faculty of Technology, University of Novi Sad, Bulevar Cara Lazara 1, 21000 Novi Sad, Serbia
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Abstract
The inequality Ffx;fy(qs) Fx;y(s) (s 0), where q 2 (0; 1), is generalized for multi- valued mappings in many directions. Using Hausdor distance S.B. Nadler in [7] intro- duced a generalization of Banach contraction principle in metric spaces. In [3] the de nition of probabilistic Nadler q-contraction is given. Using some results given in [12] a xed point theorem on spaces with a convex structure is obtained. Some xed point theorems in such spaces are proved in [1, 2].
Indexed keywords
| Engineering uncontrolled terms | Coin- cidence pointConvex structureMenger spaceMultivalued mappingsProbabilistic metric spacesTriangular norms |
|---|---|
| Engineering controlled terms: | Fuzzy logicSet theory |
| Engineering main heading: | Topology |
- ISBN: 978-807368386-3
- Source Type: Conference Proceeding
- Original language: English
- Document Type: Conference Paper
Zikic-Dosenovic, T.; Faculty of Technology, University of Novi Sad, Bulevar Cara Lazara 1, Serbia;
© Copyright 2013 Elsevier B.V., All rights reserved.
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