Some Generalizations of Fixed Point Theorems in Cone Metric SpacesReport as inadecuate




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Fixed Point Theory and Applications

, 2009:657914

First Online: 27 September 2009Received: 17 March 2009Revised: 15 July 2009Accepted: 29 August 2009

Abstract

We generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H. Guang and Z. Xian 2007; P. Vetro 2007; M. Abbas and G. Jungck 2008; Sh. Rezapour and R. Hamlbarani 2008. In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed. Consequently, the results generalize several fixed results in metric spaces including the results of G. E. Hardy and T. D. Rogers 1973, R. Kannan 1969, G. Jungck, S. Radenovic, S. Radojevic, and V. Rakocevic 2009, and all the references therein.

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Author: J. O. Olaleru

Source: https://link.springer.com/







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