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Relation-theoretic contraction principle in cone metric spaces with Banach algebra

Authors :
Satish Shukla
S. K. Malhotra
J.B. Sharma
Source :
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics. 8:87-100
Publication Year :
2016
Publisher :
Centre for Evaluation in Education and Science (CEON/CEES), 2016.

Abstract

In this work, we introduce the notion of relation-theoretic contractions in cone metric spaces with Banach algebra and prove some fixed point results for such contractions. Our results generalize and unify several known results in the setting of cone metric spaces with Banach algebra. An example is provided which illustrate the results proved herein and shows that how the new results are different from existing ones.

Details

ISSN :
22175539
Volume :
8
Database :
OpenAIRE
Journal :
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
Accession number :
edsair.doi...........0bdf6ae085738f0d12925324f3352cc1