Comparing solutions of equation systems involving semipositive operators
Complementarity problem for -monotone-type maps.
Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces
In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature....
Continuous dependence on data for quasiautonomous nonlinear boundary value problems.
Convergence of iterative sequences for fixed point and variational inclusion problems.
Convergence of Monotone Operators.
Convergence of paths for perturbed maximal monotone mappings in Hilbert spaces.
Convergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces
The aim of this paper is to propose two modified forward-backward splitting algorithms for zeros of the sum of a maximal monotone operator and a Bregman inverse strongly monotone operator in reflexive Banach spaces. We prove weak and strong convergence theorems of the generated sequences by the proposed methods under some suitable conditions. We apply our results to study the variational inequality problem and the equilibrium problem. Finally, a numerical example is given to illustrate the proposed...
Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators.
Convergence theorems for generalized projections and maximal monotone operators in Banach spaces.
Convergence theorems on an iterative method for variational inequality problems and fixed point problems.
Convergence uniforme pour les itérés définissant la solution d'une inéquation quasi-variationnelle
Coupled fixed points of mixed monotone operators on probabilistic Banach spaces
The existence of minimal and maximal fixed points for monotone operators defined on probabilistic Banach spaces is proved. We obtained sufficient conditions for the existence of coupled fixed point for mixed monotone condensing multivalued operators.
Eigenvalue results for pseudomonotone perturbations of maximal monotone operators
Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X. Applying a recent degree theory of Kartsatos and Skrypnik, we establish the existence of an eigensolution to the nonlinear inclusion 0 ∈ T x + λ C x, with a regularization method by means...
Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces.
Equation with residuated functions
The structure of solution-sets for the equation is discussed, where are given residuated functions mapping between partially-ordered sets. An algorithm is proposed which produces a solution in the event of finite termination: this solution is maximal relative to initial trial values of . Properties are defined which are sufficient for finite termination. The particular case of max-based linear algebra is discussed, with application to the synchronisation problem for discrete-event systems;...
Equilibrium of maximal monotone operator in a given set
Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10].
Evolution equations for a class of nonlinear operators
Se è un operatore in uno spazio di Hilbert e è un sotto insieme di questo spazio, in molti problemi si è indotti a modificare sul «bordo» di in modo da ottenere un operatore tale che le soluzioni dell'equazione differenziale associata non escano da . Se non è convesso, l'operatore non rientra nei casi classici esaminati, ad esempio, in [1]. In questo lavoro introduciamo alcune classi di operatori che contengono, in qualçhe caso significativo, quelli del genere sopra considerato...
Existence and stability of periodic solutions for a nonlocal evolution population problem.
The theory of maximal monotone operators is applied to prove the existence of weak periodic solutions for a nonlinear nonlocal problem. The stability of these solutions is a consequence of the Lipschitz continuous assumption on the diffusivity matrix and the death rate.
Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data