Abstract

Some Existence Results in Cone B-Metric Spaces

R. A. Siddiqui* and B.P. Tripathi

*Department of Mathematics, Govt. N.P.G. College of Science, Raipur, Chhattisgarh-492010, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/1021

ABSTRACT

In this article, we establish some fixed point and common fixed point theorems satisfying a general contractive condition in the setting of cone b-metric spaces with normal solid cone. Also, certain examples are given to support the our results. Our results extend and generalize several known results from the existing literature. 2010 Mathematics Subject Classification. 47H10, 54H25.

Keywords :Cone b-metric space, generalized contractive condition, normal cone, common fixed point.

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