Fixed points for -contractive multimaps.
Latif, Abdul, Kutbi, Marwan A. (2009)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions.”
Fixed points for -contractive multimaps.
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Fixed point theorems of multivalued hybrid contractions and Meir-Keeler type multivalued maps are obtained in a metric space. Our results generalize corresponding results of Aubin and Siegel, Dube, Dube and Singh, Hadzic, Iseki, Jungck, Kaneko, Nadler, Park and Bae, Reich, Ray and many others.
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Salvatore A. Marano (1994)
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For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.
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