Periodic solutions to certain evolution inequalities
Perturbations of variational inequalities and rate of convergence of solutions
Perturbed Proximal Point Algorithm with Nonquadratic Kernel
Let H be a real Hilbert space and T be a maximal monotone operator on H. A well-known algorithm, developed by R. T. Rockafellar [16], for solving the problem (P) ”To find x ∈ H such that 0 ∈ T x” is the proximal point algorithm. Several generalizations have been considered by several authors: introduction of a perturbation, introduction of a variable metric in the perturbed algorithm, introduction of a pseudo-metric in place of the classical regularization, . . . We summarize some of these extensions...
Piecewise atone interpolation of monotone operators
Problèmes aux limites non linéaires, non coercifs
Properties of a quasi-uniformly monotone operator and its application to the electromagnetic $p$-$\text {curl}$ systems
In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation $Au=b$. We prove that if $A$ is a quasi-uniformly monotone and hemi-continuous operator, then $A^{-1}$ is strictly monotone, bounded and continuous, and thus the Galerkin approximations converge. Also we show an application of a quasi-uniformly monotone and hemi-continuous operator to the proof of the well-posedness and convergence...
Pseudo-Monotone Operators in Banach Spaces and Nonlinear Elliptic Equations.
Pseudomonotonicity and nonlinear hyperbolic equations
In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
Quasi-convex functions and quasi-monotone operators.
Quotients, ranges, and normal solvability of maximal monotone operators.
Random fixed points and approximations in random convex metric spaces.
Regular maximal monotone operators and the sum theorem.
Régularisation pour les problèmes à opérateurs monotones et la méthode de Galerkin
Regularization for evolution equations in Hilbert spaces involving monotone operators via the semi-flows method.
Relatively B-pseudomonotone variational inequalities over product of sets.
Relaxed submonotone mappings.
Second order difference inclusions of monotone type
The existence of anti-periodic solutions is studied for a second order difference inclusion associated with a maximal monotone operator in Hilbert spaces. It is the discrete analogue of a well-studied class of differential equations.
Semi-continuity of set-valued monotone mappings
Semigroups and generators on convex domains with the hyperbolic metric
Let be domain in a complex Banach space , and let be a pseudometric assigned to by a Schwarz-Pick system. In the first section of the paper we establish several criteria for a mapping to be a generator of a -nonexpansive semigroup on in terms of its nonlinear resolvent. In the second section we let be a complex Hilbert space, the open unit ball of , and the hyperbolic metric on . We introduce the notion of a -monotone mapping and obtain simple characterizations of generators...
Sensitivity analysis for relaxed cocoercive nonlinear quasivariational inclusions.