Journal of Inequalities and Applications · 2014 · 48 citations · 15 references
Natural SciencesMathematicsSet TheoryFixed Point TheoryFixed PointsMetric GeometryMetric SpacesExistence Of Fixed PointsFixed Point PropertyUniqueness Of Fixed Points
Abstract The aim of this paper is to establish some fixed point theorems for set-valued mappings in the context of b -metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature. An example is also given to support our main result. MSC: 46S40, 47H10, 54H25.
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Multi-valued contraction mappings
Sam B. Nadler · Pacific Journal of Mathematics · 1969 · 2.3K citations · Full text
Contraction mappings in $b$-metric spaces
Stefan Czerwik · Czech digital mathematics library · 1993 · 1K citations · Full text