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Cone 2-metric space and Fixed point theorem of contractive mappings

Singh B., Jain S., Bhagat P.

Commentationes Mathematicae

2012

Vol. 52, [Z] 2

143--151

In this paper we introduce cone 2-metric space and prove some fixed point theorems of a contractive mapping on a cone 2-metric spaces.

Existence and uniqueness of solution of differential equation of second order in cone metric spaces

Tidke H. L., Dhakne M. B.

Fasciculi Mathematici

2010

Nr 45

121-131

In this paper we investigate the existence and uniqueness for fractional and non-fractional dierential equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space, fractional calculus and the theory of strongly continuous cosine family.

Common fixed point results for six maps on cone metric spaces with some weaker conditions

Deshpande B.

Fasciculi Mathematici

2010

Nr 43

33-43

The existence of coincidence points and common fixed points for six mappings satisfying certain contractive conditions without exploiting the notion of continuity in cone metric spaces is established. Our results generalize, improve and extend several well known comparable results in the literature.