Some remarks on the convergence of Picard iteration to a fixed point for a continuous mapping.
Some Remarks On The Fixed Point Stability For Nonexpansive Mappings
Some remarks on the number of solutions of some nonlinear elliptic problems
Some results on an iterative method for nonexpansive mappings in Banach spaces.
Some results on an iterative method for nonexpansive mappings in different spaces.
Some simple nonlinear PDE's without solutions
In questo articolo consideriamo alcune semplici equazioni a derivate parziali elittiche nonlineari, per le quali il Teorema della Funzione Inversa, se applicato in modo formale, suggerisce l'esistenza di soluzioni. Nonostante ciò, proviamo che non esistono soluzioni neppure in vari sensi deboli. Un problema modello è dato da in , su , dove , , è un dominio limitato contenente . Per qualunque costante , arbitrariamente piccola, proviamo che questo problema non ammette soluzioni distribuzionali...
Some stability results for Picard iterative process in uniform space.
Some stability results for two hybrid fixed point iterative algorithms in normed linear space
Some stability theorems for some iteration processes
In this paper, we obtain some stability results for Picard and Mann iteration processes in metric space and normed linear space respectively, using two different contractive definitions which are more general than those of Harder and Hicks [4], Rhoades [10, 11], Osilike [8], Osilike and Udomene [9], Berinde [1, 2], Imoru and Olatinwo [5] and Imoru et al [6].Our results are generalizations of some results of Harder and Hicks [4], Rhoades [10, 11], Osilike [8], Osilike and Udomene [9], Berinde [1,...
Some unified algorithms for finding minimum norm fixed point of nonexpansive semigroups in Hilbert spaces.
Some unifying results on stability and strong convergence for some new iteration processes.
Some weak convergence theorems for a family of asymptotically nonexpansive nonself mappings.
Stability and convergence results based on fixed point theory for a generalized viscosity iterative scheme.
Stability of convergent continuous descent methods.
Stability of Noor Iteration for a General Class of Functions in Banach Spaces
In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.
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.
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.
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].