On the convergence of some iteration processes in uniformly convex Banach spaces
نویسندگان
چکیده
منابع مشابه
On the Convergence of Some Iteration Processes in Uniformly Convex Banach Spaces
For the approximation of fixed points of a nonexpansive operator T in a uniformly convex Banach space E the convergence of the Mann-Toeplitz iteration x„+1 = a„T(x„) + (1 a„)xñ is studied. Strong convergence is established for a special class of operators T. Via regularization this result can be used for general nonexpansive operators, if E possesses a weakly sequentially continuous duality map...
متن کاملConvergence results: A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces
In this article, we introduce a new type iterative scheme for approximating common fixed points of two asymptotically nonexpansive mappings is defined, and weak and strong convergence theorem are proved for the new iterative scheme in a uniformly convex Banach space. The results obtained in this article represent an extension as well as refinement of previous known resu...
متن کاملOn the convergence of some iteration processes for J-pseudomonotone mixed variational inequalities in uniformly smooth Banach spaces
This paper aims at studying the convergence of some iteration processes for mixed variational inequalities with convex nondifferentiable functionals and J -potential, J -coercive, J -pseudomonotone or J -strongly inverse monotone operators in uniformly smooth Banach spaces. Our results generalize corresponding theorems of [I.B. Badriev, O.A. Zadvornov, A decomposition method for variational ine...
متن کاملOn the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces
Some algorithms for nding common xed point of a family of mappings isconstructed. Indeed, let C be a nonempty closed convex subset of a uniformlyconvex Banach space X whose norm is Gateaux dierentiable and let {Tn} bea family of self-mappings on C such that the set of all common fixed pointsof {Tn} is nonempty. We construct a sequence {xn} generated by the hybridmethod and also we give the cond...
متن کاملWeak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces
In this paper, we prove some theorems related to properties of generalized symmetric hybrid mappings in Banach spaces. Using Banach limits, we prove a fixed point theorem for symmetric generalized hybrid mappings in Banach spaces. Moreover, we prove some weak convergence theorems for such mappings by using Ishikawa iteration method in a uniformly convex Banach space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1978
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1978-0477899-4