Fixed Point Theory and Applications · 2014 · 19 citations · 29 references
Natural SciencesMathematicsTopologyFixed Point TheoryFixed PointsGeneral TopologyIterated MapsMetric GeometryMetric SpacesContractive MappingsFixed Point PropertyGeneralized Metric SpacesMetric Fixed Point TheoryPartial Fixed Point Theorems
Abstract We prove a set of fixed point theorems for mappings with φ -contractive iterate at a point in a class of generalized metric spaces. This is a generalization of some well-known results for Guseman and Matkowski types of fixed point results in metric and generalized metric spaces. MSC: 47H10, 54H25.
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A theorem on contraction mappings
A. Meir, Emmett B. Keeler · Journal of Mathematical Analysis and Applications · 1969 · 742 citations
A new approach to generalized metric spaces
Zead Mustafa, Brailey Sims · 2006 · 700 citations