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SOME J-S-TYPE FIXED POINT THEOREMS FOR α-Θ-GENERALIZED CONTRACTIONS IN b-METRIC SPACES.

Authors :
PARVANEH, VAHID
Source :
Journal of Mathematical Analysis. 2017, Vol. 8 Issue 3, p135-147. 13p.
Publication Year :
2017

Abstract

In this paper, we introduce a new class of control functions and the concept of α-Θ-generalized Hardy-Rogers contraction and establish some fixed point results in the setting of b-metric spaces. Our results generalize many famous fixed point results such as Banach Contraction principle. Highlighting the obtained results, we present some illustrative examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21173419
Volume :
8
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis
Publication Type :
Academic Journal
Accession number :
135254157