Stabilization of a hybrid system with a nonlinear nonmonotone feedback
Stabilization of a hybrid system with a nonlinear nonmonotone feedback
For a hybrid system composed of a cable with masses at both ends, we prove the existence of solutions for a class of nonlinear and nonmonotone feedback laws by means of a priori estimates. Assuming some local monotonicity, strong stabilization is obtained thanks to some Riemann's invariants technique and La Salle's principle.
Stabilization of solutions of abstract parabolic equations
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.
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.
Statistical convergence of subsequences of a given sequence
This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories.
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 im Kleinen Einer Klasse Nichtlineare Operatoren I
Stieltjes differential problems with general boundary value conditions. Existence and bounds of solutions
We are concerned with first order set-valued problems with very general boundary value conditions involving the Stieltjes derivative with respect to a left-continuous nondecreasing function , a Carathéodory multifunction and a continuous . Using appropriate notions of lower and upper solutions, we prove the existence of solutions via a fixed point result for condensing mappings. In the periodic single-valued case, combining an existence theory for the linear case with a recent result involving...
Stochastic approximation-solvability of linear random equations involving numerical ranges.
Stochastic calculus and martingales on trees
Strictly convex metric spaces with round balls and fixed points
The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
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.
Strong and convergence theorems for multivalued mappings in CAT(0) spaces.
Strong convergence and control condition of modified Halpern iterations in Banach spaces.