Some remarks concerning norm preserving extension and best approximation
Abstract Let \(X,Y\) be two normed spaces, \(X_{1}\) a subspace of \(X\) and \(A:X \rightarrow Y\) a continuous linear operator.…
2000
Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, Uniqueness of extension of semi-Lipschitz…
On the rate of convergence of a positive approximation process
Abstract In this paper we are dealing with a class of summation integral operators on unbounded interval generated by a…
Application of Popoviciu’s high convexity to the study of some sequences properties
Abstract Starting by the notion of convex funcitons of \(n\)-order introduced by Tiberiu Popoviciu, we aim to record those theorems…
More than a summing up about Meyer-Konig and Zeller operators
Abstract In this paper we bring together the most outstanding results concerning the Meyer-Konig and Zeller operators. Furthermore, a generalization…
On a certain class of approximation operators
Abstract The paper is devoted to the study of an approximation process \(K_{n}^{H}\) representing an integral form in Kantorovich sense…
Nontrivial solvability of Hammerstein integral equations in Hilbert spaces
Abstract In this note some well-known existence and multiplicity results of nontrivial solutions for scalar Hammerstein equations [1], [3] are…
Fixed point theorems for set-valued maps and existence principles for integral inclusions
AbstractNew fixed point theorems of Mönch type are presented for set-valued maps. These theorems are then used to establish general…
A Monch type generalization of the Eilenberg-Montgomery fixed point theorem
Abstract We establish a Monch type generalization of the Eilenberg-Montgomery fixed point theorem for multi-valued maps with acyclic values. AuthorsRadu…
Discrete continuation methods for boundary value problems on bounded sets in Banach spaces
AbstractThe paper deals with existence, uniqueness and iterative approximation of solutions to boundary value problems for second-order differential equations on…