The Journal of Nonlinear Sciences and Applications · 2014 · 13 citations · 20 references
Natural SciencesMathematicsGeometryFixed Point TheoryFixed PointsMetric GeometryMetric SpacesFixed Point PropertyMetric Fixed Point TheorySchauder Fixed Point Theorem
In this paper, we consider cone metric type spaces which are introduced as a generalization of symmetric and metric spaces by Khamsi and Hussain [M.A. Khamsi and N. Hussain, Nonlinear Anal. 73 (2010), 3123-3129]. Then we prove several fixed and periodic point theorems in cone metric type spaces.
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John Toland · Bulletin of the London Mathematical Society · 1986 · 1.6K citations
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A Generalization of a Fixed Point Theorem of Reich
G. E. Hardy, T. D. Rogers · Canadian Mathematical Bulletin · 1973 · 535 citations · Full text