International Journal of Mathematics and Mathematical Sciences · 1987 · 22 citations · 12 references
Natural SciencesMathematicsContractsSet TheoryTopologyFixed Point TheoryFixed PointsMetric GeometryMetric SpacesBanach Fixed Point TheoremCommon Fixed Point TheoremsContinuous MappingsContractive MappingsExistence Of Fixed PointsMetric Fixed Point TheoryUniqueness Of Fixed Points
We prove a number of results concerning the existence of common fixed points of a family of maps satisfying certain contractive conditions in metric and Banach spaces. Results dealing with the stucture of the set of common fixed points of such maps are also given. Our work is an improvement upon the previously known results.
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Commuting Mappings and Fixed Points
Gerald Jungck · American Mathematical Monthly · 1976 · 700 citations
A Generalization of a Fixed Point Theorem of Reich
G. E. Hardy, T. D. Rogers · Canadian Mathematical Bulletin · 1973 · 535 citations · Full text