6533b82dfe1ef96bd12910ad

RESEARCH PRODUCT

From Caristi’s Theorem to Ekeland’s Variational Principle in ${0}_{\sigma }$ -Complete Metric-Like Spaces

M JleliB SametCalogero VetroFrancesca Vetro

subject

fixed pointmetric-like spaceEkeland's variational principleCaristi's mappingSettore MAT/03 - Geometria

description

We discuss the extension of some fundamental results in nonlinear analysis to the setting of ${0}_{\sigma }$ -complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.

10.1155/2014/319619http://projecteuclid.org/euclid.aaa/1412606556