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A generalized variational principle in b-metric spaces
- Source :
- Le Matematiche, Vol 69, Iss 2, Pp 205-221 (2014)
- Publication Year :
- 2014
- Publisher :
- Università degli Studi di Catania, 2014.
-
Abstract
- In this paper we establish and prove a generalized variational principle for b-metric spaces. As a consequence, we obtain a weak Zhong-type variational principle in b-metric spaces. We show the applicability of the mentioned generalized variational principle by presenting a Caristi-type fixed point theorem and an extension of the main result for bifunctions - both of them stated in b-metric spaces.
Details
- Language :
- English, French, Italian
- ISSN :
- 03733505 and 20375298
- Volume :
- 69
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Le Matematiche
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f9464eecce0474cbf45321896c4dac5
- Document Type :
- article