Common fixed points for PD-operators on probabilistic metric space

Authors : Arvind BHATT

Pages : 457-463

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Publication Date : 2015-01-30

Article Type : Other Papers

Abstract :In this paper, we obtain some common fixed point theorems for recently introduced notion of PD-operators on a set X equipped with the function F without using the triangle inequality besides relaxing symmetric condition. Our results extend the results of Pathak and Rai [Common fixed points for PD-operator pairs under relaxed conditions with applications, Journal of Computational and Applied Mathematics 239insert ignore into journalissuearticles values(1);insert ignore into journalissuearticles values(2013); 103-113], Hussain et al.[Common fixed points for JH-operators and occasionally weakly biased pairs under relaxed conditions, Nonlinear Anal.74insert ignore into journalissuearticles values(2011); 2133-2140], Bhatt et al.[Common Fixed point theorems for occasionally weakly compatible mappings under relaxed conditions, Non-linear analysis Theory, Methods and appl. 73insert ignore into journalissuearticles values(2010); 176-182] and several others.
Keywords : Probabilistic metric space, PD operator, fixed point theorem