Title of article
A novel approach to Banach contraction principle in extended quasi-metric spaces
Author/Authors
Abdou ، Afrah A. N. - King Abdulaziz University , Aljohani ، Mohammed - King Fahd University of Petroleum and Minerals , Khamsi ، Mohamed A. - University of Texas at El Paso
Pages
6
From page
3858
To page
3863
Abstract
The purpose of this note is to give a natural approach to the extensions of the Banach contraction principle in metric spaces endowed with a partial order, a directed graph or a binary relation in terms of extended quasimetric. This novel approach is new and may open the door to other new fixed point theorems. The case of multivalued mappings is also discussed and an analogue result to Nadler s fixed point theorem in extended quasi-metric spaces is given.
Keywords
Banach contraction principle , contraction mapping , extended quasi , metric space , fixed point , monotone mapping , multivalued mapping.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2476027
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