On Parametric S-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings

We introduce the notion of a parametric S-metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametric S-metric space. It is important to obtain new fixed-point theorems on a parametric S-metric space because there exist s...

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Bibliographic Details
Published inJournal of Mathematics Vol. 2016; no. 2016; pp. 1 - 6
Main Authors Tas, Nihal, Ozgur, Nihal Yilmaz
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2016
Hindawi Limited
Wiley
Subjects
Cybernetics
Fixed point theory
Maps (Mathematics)
Mathematical research
Mathematics
Metric spaces
Quotas
Studies
Theorems
Traveling salesman problem
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Summary:We introduce the notion of a parametric S-metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametric S-metric space. It is important to obtain new fixed-point theorems on a parametric S-metric space because there exist some parametric S-metrics which are not generated by any parametric metric. We expect that many mathematicians will study various fixed-point theorems using new expansive mappings (or contractive mappings) in a parametric S-metric space.
ISSN:2314-4629
2314-4785
DOI:10.1155/2016/4746732