About nonlinear contractive conditions on cone metric spaces

Details About nonlinear contractive conditions on cone metric spaces About nonlinear contractive conditions on cone metric spaces

2011-12-04

arxiv.org/abs/1112.0722v2

Mathematics

Functional Analysis

This paper was accepted for publication

Scientific paper

In the present work we shall show that nonlinear contractive conditions on TVS-cone metric spaces can be reduced to nonlinear contractive conditions on usual metric spaces. Our results extend the results of Du (2010) [W.S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. 72 (2010), 2259-2261] and results of Abdeljawad and Rezapour [T. Abdeljawad, Sh. Rezapour, Some fixed point results in TVS-cone metric spaces, Fixed Point Theory (to appear 2012)].

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