Improved Convergence Analysis of Mixed Secant Methods for Perturbed Subanalytic Variational Inclusions
نویسندگان
چکیده
We present a local convergence analysis of mixed secant method in order to approximate solutions of variational inclusions. The local convergence results are given under weaker conditions than in earlier studies such as [4], resulting to a more precise error analysis and the extension of the applicability of the method. A numerical example illustrating the advantages of our approach is also presented in this study.
منابع مشابه
An Improved Local Convergence Analysis for Secant-like Method
We provide a local convergence analysis for Secant– like algorithm for solving nonsmooth variational inclusions in Banach spaces. An existence–convergence theorem and an improvement of the ratio of convergence of this algorithm are given under center–conditioned divided difference and Aubin’s continuity concept. Our result compare favorably with related obtained in [16].
متن کاملMIXED VARIATIONAL INCLUSIONS INVOLVING INFINITE FAMILY OF FUZZY MAPPINGS
In this paper, we introduce and study a mixed variational inclusion problem involving infinite family of fuzzy mappings. An iterative algorithm is constructed for solving a mixed variational inclusion problem involving infinite family of fuzzy mappings and the convergence of iterative sequences generated by the proposed algorithm is proved. Some illustrative examples are also given.
متن کاملNewton–like Method for Nonsmooth Subanalytic Variational Inclusions
We present a new result for the local convergence of Newton–type method to a unique solution of a nonsmooth subanalytic variational inclusions in finite dimensional spaces. Under a center–type conditions [1]–[4] and using the same or less computational cost, we extend the applicability of Newton’s method [8], [10]. MSC 2010. 65K10, 65G99, 65H10, 65B05, 47H04, 49M15, 47H17, 14P15.
متن کاملThe Australian Journal of Mathematical Analysis and Applications
We introduce a new iterative method for approximating a locally unique solution of variational inclusions in Banach spaces by using generalized divided differences of the first order. This method extends a method considered by Traub [17] (in the scalar case) and by Potra [12] (in the Banach spaces case) for solving nonlinear equations to variational inclusions. An existence–convergence theorem ...
متن کاملStable Perturbed Algorithms for a New Class of Generalized Nonlinear Implicit Quasi Variational Inclusions in Banach Spaces
In this work, a new class of variational inclusion involving T-accretive operators in Banach spaces is introduced and studied. New iterative algorithms for stability for their class of variational inclusions and its convergence results are established.
متن کامل