On the topological transversality principle
Abstract We propose a generalization of the topological transversality theorem of Granas [1] (see also [2]). We show the implication…
not-at-ICTP
Note on an abstract continuation theorem
AbstractThe author shows that one may derive the property of homotopy invariance for the fixed point index (for compact maps…
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…
Generalized topological transversality and existence theorems
Abstract?? AuthorsRadu Precup Keywords?? Paper coordinatesR. Precup, Generalized topological transversality and existence theorems, Libertas Math., 11 (1991), 65-79. PDFhttps://ictp.acad.ro/wp-content/uploads/2022/08/1991a-Precup-Generalized-topological-transversality-and-existence-theorems-Libertas-Math.-11-1991-65-79.pdf About…
Generalized topological transversality and mappings of monotone type
Abstract?? AuthorsRadu Precup Department of Mathematics, ”Babeş-Bolyai” University of Cluj-Napoca, Cluj-Napoca, Romania Keywords?? Paper coordinatesR. Precup, Generalized topological transversality and…
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…