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arxiv: 1403.1935 · v1 · pith:PU5JW22Tnew · submitted 2014-03-08 · 🧮 math.FA

Fixed point theorems for weak contraction in partially ordered G-metric space

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keywords spacefixedg-metricpointtheoremscontractionexistingmetric
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In this article, we present some fixed point theorems in partially ordered G-metric space using the concept of $(\psi,\phi)$- weak contraction which extend many existing fixed point theorems in such space. We also give some examples to show that if we transform a metric space into a G-metric space our results are not equivalent to the existing results in metric space.

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