IJPAM: Volume 107, No. 3 (2016)

MULTIVALUED CONTRACTIONS WITHOUT
NORMALITY IN CONE $b$-METRIC SPACES

Anju Panwar$^1$, Anita$^2$
$^{1,2}$Department of Mathematics
Maharshi Dayanand University
Rohtak, 124001, Haryana, INDIA


Abstract. In this paper we prove fixed point theorem for multivalued mappings without the assumption of normality in cone $b$-metric spaces. The result not only directly improve some fixed point results in cone metric spaces and $b$-metric spaces, but also expand and generalize some previous results in cone metric spaces. We also give an example in support of the main result.

Received: October 5, 2015

Key Words and Phrases: cone $b$-metric spaces, non-normal cone, multivalued mapping and fixed points

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DOI: 10.12732/ijpam.v107i3.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 589 - 596


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