Monotone approximation for an integral equation modeling infectious disease
Abstract Monotone technique is used to approximate the periodic solutions of a delay integral equation modeling epidemics and population growth.…
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Existence and approximation of positive fixed points of nonexpansive maps
Abstract ?? AuthorsRadu Precup Faculthy of Mathematics and Computer Science “Babes-Bolyai” University, Cluj-Napoca, Romania KeywordsPaper coordinatesR. Precup, Existence and approximation…
Existence theorems for nonlinear problems by continuation methods
Abstract Continuation methods of Leray-Schauder type represent an important tool in the theory of differential and integral equations. Roughly speaking,…
Continuation theorems for maps of Caristi type
AbstractIn this paper we prove some continuation theorems for mappings of Caristi type. Our results generalize Caristi’s fixed point theorem…
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;…
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…