6533b861fe1ef96bd12c4ef0

RESEARCH PRODUCT

Some fixed point results via R-functions

Antonella NastasiPasquale VetroStojan Radenović

subject

Discrete mathematicsInjective metric spaceApplied Mathematics010102 general mathematics01 natural sciencesConvex metric spaceIntrinsic metric010101 applied mathematicsMetric spaceMetric (mathematics)Metric mapGeometry and Topology0101 mathematicsMetric differentialFisher information metricMathematics

description

We establish existence and uniqueness of fixed points for a new class of mappings, by using R-functions and lower semi-continuous functions in the setting of metric spaces. As consequences of this results, we obtain several known fixed point results, in metric and partial metric spaces. An example is given to support the new theory. A homotopy result for operators on a set endowed with a metric is given as application.

10.1186/s13663-016-0572-xhttp://dx.doi.org/10.1186/s13663-016-0572-x