In the present paper we introduce a general class of positive operators of discrete type acting on the space of real valued functions defined on a plane domain. Based on the weakly Picard operators and the contraction principle as well, our aim is to study the convergence of the iterates of our defined operators. Also, some approximation properties of this process are revealed and concrete examples of our approach are given.
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Approximation process, contraction principle, weakly Picard operators, first-order modulus of continuity.
O. Agratini, I.A. Rus, Iterates of some bivariate approximation process via weakly Picard operators, Nonlinear Analysis Forum, 8 (2003), pp. 159-168.
Nonlinear Analysis Forum
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