On some fixed point theorems of Deimling
Abstract?? AuthorsRadu Precup Babeş-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania KeywordsFixed point in cones; α-a-set contractions; weak inwardness; continuation theorem;…
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On the reverse of the Krasnoselskii-Browder boundary inequality
Abstract Let \(G\) be a bounded open subset of a Banach space \(X\) with \(0\in G\) and let \(f\) be…
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…
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…