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Öğe Some fixed point theorems on ordered cone metric spaces(2009) Altun I.; Durmaz G.In the present work, two fixed point theorems for self maps on ordered cone metric spaces are proved motivated by [7, L. G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332 (2007) 1468-1476] and [15, A. C. M. Ran and M. C. B. Reuring, A fixed point theorem in partially ordered sets and some application to matrix equations, Proc. Amer. Math. Soc., 132, (2004), 1435-1443]. © 2009 Springer-Verlag Italia.Öğe Weak partial metric spaces and some fixed point results(Universidad Politecnica de Valencia, 2012) Altun I.; Durmaz G.The concept of partial metric p on a nonempty set X was introduced by Matthews [8]. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x ? X. Also, each partial metric p on a nonempty set X generates a T0 topology on X. By omitting the small self-distance axiom of partial metric, Heckmann [7] defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces. © Universidad Politécnica de Valencia.
