A degree theory for locally compact perturbations of Fredholm maps in Banach spaces.
A Differential Inequality for the Distance Function in Normed Linear Spaces.
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here the...
A discrete contact model for crowd motion
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: we first define a spontaneous velocity which corresponds to the velocity each individual would like to have in the absence of other people. The actual velocity is then computed as the projection of the spontaneous velocity onto the set of admissible velocities (i.e. velocities which do not violate the non-overlapping constraint). We describe here...
A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle.
A double-sequence random iteration process for random fixed points of contractive type random operators.
A DSM proof of surjectivity of monotone nonlinear mappings
A simple proof is given of a basic surjectivity result for monotone operators. The proof is based on the dynamical systems method (DSM).
A dual of the compression-expansion fixed point theorems.
A final value problem for heat equation: regularization by truncation method and new error estimates.
A finite dimensional reduction of the Schauder Conjecture
Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.
A fixed point approach to the stability of differential equations .
A fixed point theorem
A fixed Point Theorem and its Applications to Nonlinear Integral Equations in Banach Algebras
A fixed point theorem for a class of differentiable stable operators in Banach spaces.
A Fixed Point Theorem for a Class of Mappings.
A Fixed Point Theorem For A Class Of Mappings In Probabilistic Locally Convex Spaces
A fixed point theorem for a class of mappings in probabilistic locally convex spaces.
A fixed point theorem for a multivalued non-self mapping
We prove a fixed point theorem for a multivalued non-self mapping in a metrically convex complete metric space. This result generalizes Theorem 1 of Itoh [2].
A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type.
A fixed point theorem for affine mappings and its application to elasticity theory
In this paper we obtain a general fixed point theorem for an affine mapping in Banach space. As an application of this theorem we study existence of periodic solutions to the equations of the linear elasticity theory.