Stability of Noor iterations with errors for generalized nonlinear complementarity problems.
Stability of solutions for an abstract Dirichlet problem
We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.
Stability of the Iteration Method for non Expansive Mappings
The general iteration method for nonexpansive mappings on a Banach space is considered. Under some assumption of fast enough convergence on the sequence of (“almost” nonexpansive) perturbed iteration mappings, if the basic method is τ−convergent for a suitable topology τ weaker than the norm topology, then the perturbed method is also τ−convergent. Application is presented to the gradient-prox method for monotone inclusions in Hilbert spaces.
Stability of -additive mappings: Applications to nonlinear analysis.
Stabilization of solutions to a differential-delay equation in a Banach space
A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.
Stable approximations of set-valued maps
Stable discretization methods with external approximation schemes.
Stable iteration procedures in metric spaces which generalize a Picard-type iteration.
Stable iteration schemes for local strongly pseudocontractions and nonlinear equations involving local strongly accretive operators.
State trajectories analysis for a class of tubular reactor nonlinear nonautonomous models.
Stationary solutions of the generalized Smoluchowski-Poisson equation
The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.
Steffensen Methods for Solving Generalized Equations
2000 Mathematics Subject Classification: 65G99, 65K10, 47H04.We provide a local convergence analysis for Steffensen's method in order to solve a generalized equation in a Banach space setting. Using well known fixed point theorems for set-valued maps [13] and Hölder type conditions introduced by us in [2] for nonlinear equations, we obtain the superlinear local convergence of Steffensen's method. Our results compare favorably with related ones obtained in [11].
Stetigkeit des Spektrums einer Klasse nichtlinearer Operatoren II
Stochastic approximation-solvability of linear random equations involving numerical ranges.
Strengthening upper bound for the number of critical levels of nonlinear functionals
Strong and weak convergence of modified Mann iteration for new resolvents of maximal monotone operators in Banach spaces.
Strong and weak convergence of the modified proximal point algorithms in Hilbert space.
Strong and weak convergence theorems for an infinite family of Lipschitzian pseudocontraction mappings in Banach spaces.
Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators.