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On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results
- Source :
- Open Mathematics, Vol 14, Iss 1, Pp 167-180 (2016)
- Publication Year :
- 2016
- Publisher :
- De Gruyter, 2016.
-
Abstract
- The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of integral type. Many fixed point results for multi-valued mappings in metric spaces endowed with an arbitrary binary relation and metric spaces endowed with graph are given here to illustrate the results in this paper.
Details
- Language :
- English
- ISSN :
- 23915455 and 52551776
- Volume :
- 14
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.13b52551776a4212bb157d6c9d25d90d
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2016-0013