A bifurcation result for Sturm-Liouville problems with a set-valued term.
A class of retracts in with some applications to differential inclusion
A coincidence point theorem for multivalued mappings in 2-Menger 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 dual of the compression-expansion fixed point theorems.
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 theorem for multivalued mappings.
A fixed point theorem for non-self multi-maps in metric spaces
A fixed point theorem is proved for non-self multi-valued mappings in a metrically convex complete metric space satisfying a slightly stronger contraction condition than in Rhoades [3] and under a weaker boundary condition than in Itoh [2] and Rhoades [3].
A fixed point theorem for non-self set-valued mappings.
A functional integral inclusion involving Carathéodories.
A -KKM type theorem and its applications to minimax inequalities on -convex spaces.
A general coincidence theory for set-valued maps.
A generalization of the Schauder fixed point theorem via multivalued contractions
We establish a fixed point theorem for a continuous function , where is a Banach space and . Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
A Krasnoselskiĭ cone compression result for multimaps in the S-KKM class.
A new approach to the existence results for orientor fields with Nicoletti's boundary conditions
Applying a global bifurcation theorem for convex-valued completely continuous mappings we prove some existence theorems for convex-valued differential inclusions of the form x'∈ F(t,x), where x satisfies the Nicoletti boundary conditions.
A new topological degree theory for densely defined quasibounded -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.
A note on bounds for non-linear multivalued homogenized operators
In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.
A note on the super-additive and sub-additive transformations of aggregation functions: The multi-dimensional case
For an aggregation function we know that it is bounded by and which are its super-additive and sub-additive transformations, respectively. Also, it is known that if is directionally convex, then and is linear; similarly, if is directionally concave, then and is linear. We generalize these results replacing the directional convexity and concavity conditions by the weaker assumptions of overrunning a super-additive function and underrunning a sub-additive function, respectively.
A note on variational-type inequalities for (η,θ,δ)-pseudomonotone-type set-valued mappings in nonreflexive Banach spaces
In this paper the existence of solutions to variational-type inequalities problems for (η,θ,δ)- pseudomonotone-type set-valued mappings in nonreflexive Banach spaces introduced in [4] is considered. Presented theorem does not require a compact set-valued mapping, but requires a weaker condition 'locally bounded' for the mapping.