A generalization of Nadler fixed point theorem


Vetro, Francesca


Abstract

carpathian_2015_31_3_403_410_abstract

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carpathian_2015_31_3_403_410

Jleli and Samet gave a new generalization of the Banach contraction principle in the setting of Branciari metric spaces [Jleli, M. and Samet, B., A new generalization of the Banach contraction principle, J. Inequal. Appl., 2014:38 (2014)]. The purpose of this paper is to study the existence of fixed points for multivalued mappings, under a similar contractive condition, in the setting of complete metric spaces. Some examples are provided to illustrate the new theory.

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Vetro, Francesca