6533b85bfe1ef96bd12baa96

RESEARCH PRODUCT

A generalization of Nadler fixed point theorem

Francesca Vetro

subject

Discrete mathematicsSettore MAT/05 - Analisi MatematicaGeneralizationGeneral MathematicsFixed-point theoremMetric space fixed point multivalued mappingSettore MAT/03 - GeometriaMathematics

description

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.

https://doi.org/10.37193/cjm.2015.03.18