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Minimization principle in ordered banach spaces and application via ekeland's variational principle
(Element d.o.o., 2017-01-01)
In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the ...
Existence of solutions for an elliptic boundary value problem via a global minimization theorem on hilbert spaces
(Element d.o.o., 2016-01-01)
We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result.