A novel approach to Banach contraction principle in extended quasi-metric spaces
نویسندگان
چکیده
منابع مشابه
A Novel Approach to Banach Contraction Principle in Extended Quasi-metric Spaces
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 quasi-metric. 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’...
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*Correspondence: [email protected] 1Department of Mathematics, Çankaya University, Ankara, 06530, Turkey Full list of author information is available at the end of the article Abstract We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (I...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2016
ISSN: 2008-1901
DOI: 10.22436/jnsa.009.06.33