Fixed Point Theory and Applications · 2005 · 18 citations · 6 references
Natural SciencesMathematicsTopologyConvex AnalysisConvex GeometryFixed Point TheoryFixed PointsMetric GeometryMetric SpacesCommon Fixed Point TheoremsFixed Point FormulationsFixed Point PropertyMetric Fixed Point Theory
Abstract We consider quasicontraction nonself-mappings on Takahashi convex metric spaces and common fixed point theorems for a pair of maps. Results generalizing and unifying fixed point theorems of Ivanov, Jungck, Das and Naik, and Ćirić are established.
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Commuting Mappings and Fixed Points
Gerald Jungck · American Mathematical Monthly · 1976 · 700 citations
A convexity in metric space and nonexpansive mappings. I.
Wataru Takahashi · Kodai Mathematical Journal · 1970 · 465 citations · Full text