Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators
Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators
Abstract In this paper, we will present fixed point theorems for singlevalued and multivalued operators in spaces endowed with vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem for the coupled fixed point problem, associated to a pair of singlevalued operators (satisfying a generalized mixed monotone property) in ordered metric …