A generalized contraction mapping theorem in E-metric spaces
James Daniel (1974)
Studia Mathematica
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James Daniel (1974)
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K. Sieklucki (1960)
Fundamenta Mathematicae
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W. Słowikowski (1965)
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Abderrahim Jourani (1996)
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We extend the open mapping theorem and inversion theorem of Robinson for convex multivalued mappings to γ-paraconvex multivalued mappings. Some questions posed by Rolewicz are also investigated. Our results are applied to obtain a generalization of the Farkas lemma for γ-paraconvex multivalued mappings.
R. Engelking (1971)
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A. Pełczyński (1964)
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Gilles Fournier, Heinz-Otto Peitgen (1978)
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Libor Veselý (2008)
Acta Universitatis Carolinae. Mathematica et Physica
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