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Abstract
In this paper we prove some fixed point results for mapping satisfying expansive conditions on complete G-metric spaces. Also we showed that if G-metric space (X,G) is symmetric, then existence and uniqueness of those results follows from some simple fixed point theorem based on Banach contraction principal in usual metric space (X, d_G), where (X,d_G) the metric induced by the G-metric space (X,G).
How to Cite this Article:
A.S. Saluja, Mukesh Kumar Jain, Some fixed point theorems for G-metric spaces with expansion mappings, Communications in Optimization Theory 2015 (2015), Article ID 3.