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Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces
- Source :
- Abstract and Applied Analysis, Vol 2014 (2014)
- Publication Year :
- 2014
- Publisher :
- Wiley, 2014.
-
Abstract
- We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces. Our results generalize and extend many comparable results in existing literature. Some examples are also given to support our results. Finally, an application to the existence of solutions for a class of integral equations is presented by utilizing one of our main results.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10853375 and 16870409
- Volume :
- 2014
- Database :
- Directory of Open Access Journals
- Journal :
- Abstract and Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.6b65060e78464f83aa8756fac423b237
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2014/103764