The convergence of mean value iteration for a family of maps
Abstract We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with \(\lim_{n\rightarrow…
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The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions
Abstract We show that the Mann and Ishikawa iterations are equivalently used to approximate fixed points of generalized contractions. AuthorsS.M.…
The convergence of an implicit mean value iteration
Abstract We show the convergence of an implicit mean value iteration when applied to uniformly pseudocontractive maps. Remarks about other…
The equivalence of Mann and Ishikawa iterations dealing with uniformly pseudocontractive maps without bounded range
Abstract We prove that Mann and Ishikawa iterations are equivalent models dealing with \(\psi\)-uniformly pseudocontractive or d-weakly contractive maps without…
On a D.V. Ionescu’s problem for functional-differential equations
Abstract The purpose of this paper is to study a generalization of a D.V. Ionescu’s problem. Existence, uniqueness and data…
Integro-differential equation with two times modifications
Abstract We consider an integro-differential equation with two times modifications. Existence, uniqueness and monotony results of solution for the Cauchy…
Integro-Differential Equation with two time lags
Abstract We consider an integro-differential equation with two time lags and we prove the existence, uniqueness and convergence of the…
Exact solutions for differential equations in Celestial Mechanics
Abstract There are many problems in Celestial Mechanics which can be reduced to differential equations, either linear or nonlinear. We…
Lotka, Volterra and their model
Abstract The chemist and statistician Lotka, as well as the mathematician Volterra, studied the ecological problem of a predator population…
On Kantorovich-type Operators in Lp Spaces
Abstract This note is devoted to the study of a linear positive sequence of operators representing an integral form in…