Fixed Point Theory and Applications · 2012 · 16 citations · 7 references
Natural SciencesMathematicsSet TheoryTopologyFixed Point TheoryFixed PointsMetric GeometryMetric SpacesContraction MappingsContractive MappingsFixed Point PropertyMetric Fixed Point TheoryQuasi-metric Spaces
In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b -metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.
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Multi-valued contraction mappings
Sam B. Nadler · Pacific Journal of Mathematics · 1969 · 2.3K citations · Full text