On the convergence of a truncated class of operators1 month agoAbstract In this paper we are dealing with a general class of positive approximation processes of discrete type expressed in…
On some Bernstein type operators: iterates and generalizations1 month agoAbstract The present paper focuses on two approaches. Firstly, by using the contraction principle, we give a method for obtaining…
Iterates of some bivariate approximation process via weakly Picard operators1 month agoAbstract In the present paper we introduce a general class of positive operators of discrete type acting on the space…
Iterates of a class of discrete linear operators via contraction principle1 month agoAbstract In this paper we are concerned with a general class of positive linear operators of discrete type. Based on…
Fixed point theory and generalized Leray-Schauder alternatives for approximable maps in topological vector spaces12 months agoAbstractSome new fixed point theorems for approximable maps are obtained in this paper. Homotopy results, via essential maps, are also…
On nonlocal initial value problem for first order differential equations12 months agoAbstractThe paper is devoted to the existence of solutions of initial value problems for nonlinear first order differential equations with…
The perturbed Klein-Gordon equation12 months agoAbstract We establish a general existence reasults for the Klein-Gordon equation with multivalued perturbations. The approach is based on a…
Continuation theory for contractions on spaces with two vector-valued metrics12 months agoAbstract We develop a continuation theory for contractive maps on spaces with two vector-valued metrics. Applications are presented for systems…
A nonlinear periodic averanging principle12 months agoAbstract This paper is devoted to a nonlinear averaging principle for periodic solutions of a class of second order inclusions.…
Location of nonnegative solutions for differential equations on finite and semi-infinite intervals12 months agoAbstract A variety of new existence criteria are presented for boundary value problems for second order differential equations. Our results…