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JP Journal of Fixed Point Theory and Applications

JP Journal of Fixed Point Theory and Applications
Volume 8, Issue 3, Pages 147 - 164 (December 2013)

A UNIQUE COMMON QUARTET FIXED POINT THEOREM IN PARTIALLY ORDERED CONE METRIC SPACES

Sachin V. Bedre, S. M. Khairnar and B. S. Desale

Abstract:

The notion of quartet fixed point was introduced by Karapinar and Luong [8] and obtained some fixed point theorems in partially ordered metric spaces. In this paper, we obtain a unique common quartet fixed point theorem in partially ordered cone metric spaces in which cone is not necessarily normal. We also give some examples to support our results.

Keywords and phrases:

cone metric, w-compatible maps, quartet fixed point, complete space.

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