Fixed point theorems for a pair of single-valued operators in a metric space endowed with a reflexive relation


Dobrican, Melánia-Iulia


Abstract

carpathian_2017_33_3_301_310_abstract

In this paper we provide some existence and uniqueness theorems for coupled fixed points for a pair of contractive operators satisfying a mixed monotone property, in a metric space endowed with a reflexive relation. An application to a first-order differential system equation with PBV conditions is also given to illustrate the utility of our results.

Additional Information

Author(s)

Dobrican, Melánia-Iulia