Fixed points for multivalued contractions with respect to a Pompeiu type metric


Authors

Iulia Coroian - Department of Land Measurements and Exact Sciences, University Of Agricultural Sciences and Veterinary Medicine, 3-5 Manastur St., 400372 Cluj-Napoca, Romania.


Abstract

The purpose of this paper is to present a fixed point theory for multivalued \(H^+\)-contractions from the following perspectives: existence/uniqueness of the fixed and strict fixed points, data dependence of the fixed point set, sequence of multivalued operators and fixed points, Ulam-Hyers stability of a multivalued fixed point equation, well-posedness of the fixed point problem, limit shadowing property for a multivalued operator, set-to-set operatorial equations and fractal operator theory.


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ISRP Style

Iulia Coroian, Fixed points for multivalued contractions with respect to a Pompeiu type metric, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 6084--6101

AMA Style

Coroian Iulia, Fixed points for multivalued contractions with respect to a Pompeiu type metric. J. Nonlinear Sci. Appl. (2017); 10(11):6084--6101

Chicago/Turabian Style

Coroian, Iulia. "Fixed points for multivalued contractions with respect to a Pompeiu type metric." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 6084--6101


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