On the uniqueness of extension and unique best approximation in the dual of an asymmetric normed linear space
Abstract A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined…
2003
On the convergence of a truncated class of operators
Abstract 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 generalizations
Abstract 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 operators
Abstract 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 principle
Abstract 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 spaces
AbstractSome 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 equations
AbstractThe paper is devoted to the existence of solutions of initial value problems for nonlinear first order differential equations with…
The perturbed Klein-Gordon equation
Abstract 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 metrics
Abstract We develop a continuation theory for contractive maps on spaces with two vector-valued metrics. Applications are presented for systems…
A nonlinear periodic averanging principle
Abstract This paper is devoted to a nonlinear averaging principle for periodic solutions of a class of second order inclusions.…