A Monch type generalization of the Eilenberg-Montgomery fixed point theorem
Abstract We establish a Monch type generalization of the Eilenberg-Montgomery fixed point theorem for multi-valued maps with acyclic values. AuthorsRadu…
not-at-ICTP
Discrete continuation methods for boundary value problems on bounded sets in Banach spaces
AbstractThe paper deals with existence, uniqueness and iterative approximation of solutions to boundary value problems for second-order differential equations on…
Discrete continuation method for nonlinear integral equations in Banach spaces
AbstractThe continuation theorem for contractive mappings on spaces endowed with two metrics is used to obtain existence, uniqueness and iterative…
Periodic solutions of superlinear impulsive differential systems
AbstractWe develop continuation technique to obtain periodic solutions for superlinear planar differential systems of first order with impulses. Our approach…
Analysis of some neutral delay differential equations
Abstract The paper is devoted to the study of the neutral differential equation with delay \(x^{\prime}(t)=f(t,x\left( t\right) ,(\theta \left(t\right) ),x^{\prime}(\theta…
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.…
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;…