Fixed Points of Sequence of Ćirić Generalized Contractions of Perov Type

Perov used the concept of vector valued metric space and obtained a Banach type fixed point theorem on such a complete generalized metric space. In this article, we study fixed point results for the new extensions of sequence of Ćirić generalized contractions on cone metric space, and we give some g...

Full description

Saved in:
Bibliographic Details
Published in:Mediterranean journal of mathematics 2016-12, Vol.13 (6), p.3921-3937
Main Authors: Ilić, Dejan, Cvetković, Marija, Gajić, Ljiljana, Rakočević, Vladimir
Format: Article
Language:English
Subjects:
Fixed points (mathematics)
Mathematics
Mathematics and Statistics
Metric space
Theorems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Perov used the concept of vector valued metric space and obtained a Banach type fixed point theorem on such a complete generalized metric space. In this article, we study fixed point results for the new extensions of sequence of Ćirić generalized contractions on cone metric space, and we give some generalized versions of the fixed point theorem of Perov. The theory is illustrated with some examples. It is worth mentioning that the main result in this paper could not be derived from Ćirić’s result by the scalarization method, and hence indeed improves many recent results in cone metric spaces.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-016-0724-6