A new optimal method of order four of Hermite–Steffensen type
Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…
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Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations
AbstractIn this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms…
Hahn decompositions of finitely additive measures
Abstract AuthorsȘtefan Cobzaș ”Tiberiu Popoviciu” Institute of Numerical Analysis, Cluj-Napoca, Romanian KeywordsPaper coordinatesȘt. Cobzaș, Hahn decompositions of finitely additive measures,…
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.…
Quasiconvex functions of higher order and the behavior of some nonlinear functionals
Abstract A result of T. Popoviciu, which characterizes real linear functionals on \(C(I)\) that are positive on n-convex functions as…
Measure of noncompactness and second order differential equations with deviating argument
AbstractWe study the existence and uniqueness of equations u′′(t)=f(t,u(t),u′(t),u(g₁(t)),…,u(g_{m}(t))) 1.1 u(t)=p(t),)t∈I╲intI,(1.2) in a Banach space. This problem is regarded as…
Convex functions of order \(n\) and \(P_n\)-simple functionals
Abstract A certain characterization of convex functions of order \(n\) on an interval \(I\) which are \((n+1)\) times differentiable on…
Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions
Abstract ?? AuthorsRadu Precup ”Babeș-Bolyai” University Department of Mathematics, Cluj-Napoca, Romania Keywords? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1988-vol17-no1-art8/Precup Cite this paper as:R. Precup, Maximal pseudomonotonicity…
On some properties of K-monotone operators
Abstract ?? AuthorsRadu Precup Keywords?? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1987-vol16-no1-art11/Precup Cite this paper as:R. Precup, On some properties of K-monotone operators, Anal. Numér. Théor.…
A K-monotone best approximation operator which is neither monotone and (essentially) nor (o)-monotone
Abstract ?? AuthorsRadu Precup Liceul de Informatica Cluj-Napoca Keywords?? PDFhttps://ictp.acad.ro/jnaat/journal/article/view/1986-vol15-no2-art10/Precup Cite this paper as:R. Precup, A K-monotone best approximation operator…