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Fixed Point Theorems for Multi-Valued Transformations

✍ Scribed by Eilenberg, Samuel; Montgomery, Deane

Book ID
111950289
Publisher
John Hopkins University Press
Year
1946
Tongue
English
Weight
788 KB
Volume
68
Category
Article
ISSN
0002-9327

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πŸ“œ SIMILAR VOLUMES

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Coincidence and fixed point theorems for single-valued and multi-valued maps generalizing recent results of Suzuki and Kikkawa are obtained. Various applications, including the existence of common solutions of certain functional equations are presented.

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In [N. Mizoguchi, W. Takahashi, Fixed point theorems for multi-valued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989) 177-188] the authors gave a positive answer to the conjecture of S. Reich concerning the existence of fixed points of multi-valued mappings that satisfy certain c

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Recently, extending Ćirić's quasi-contraction to a very general setting, Proinov [Petko D. Proinov, Fixed point theorems in metric spaces, Nonlinear Anal. 64 (2006) 546-557] obtained a remarkable fixed point theorem. We utilize Proinov's contractive type hypotheses for a self-map of a metric space t