Displaying similar documents to “Generalized Caristi's fixed point theorems.”

Common fixed points for commuting and compatible maps

Ismat Beg, Akbar Azam (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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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.

Metrizable space of multivalued maps

Mirosław Ślosarski (2021)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this article we define a metrizable space of multivalued maps. We show that the metric defined in this space is closely related to the homotopy of multivalued maps. Moreover, we study properties of this space and give a few practical applications of the new metric.