Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application
نویسندگان
چکیده
منابع مشابه
Strong Convergence Theorem for Bregman Strongly Nonexpansive Mappings and Equilibrium Problems in Reflexive Banach Spaces
We denote by F(T) the set of fixed points of T. Numerous problems in physics, optimization, and economics reduce to find a solution of the equilibrium problem. Some methods have been proposed to solve the equilibrium problem in a Hilbert spaces; see, for instance, Blum and Oettli [1], Combettes and Hirstoaga [2], and Moudafi [3]. Recently, Tada and Takahashi [4, 5] and S. Takahashi and W. Takah...
متن کاملStrong Convergence Theorems for Bregman Quasi–asymptotically Nonexpansive Mappings and Equilibrium Problem in Reflexive Banach Spaces
The purpose of this article is to propose an iteration algorithm for Bergman quasiasymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems. The results presented in the paper improve and extend the corresponding results of Reich and Sabach...
متن کاملNonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings
In this paper, based on viscosity technique with perturbation, we introduce a new non-linear viscosity algorithm for finding a element of the set of fixed points of nonexpansivemulti-valued mappings in a Hilbert space. We derive a strong convergence theorem for thisnew algorithm under appropriate assumptions. Moreover, in support of our results, somenumerical examples (u...
متن کاملA Modified Iterative Algorithm for Split Feasibility Problems of Right Bregman Strongly Quasi-Nonexpansive Mappings in Banach Spaces with Applications
In this paper, we present a new iterative scheme for finding a common element of the solution set F of the split feasibility problem and the fixed point set F(T) of a right Bregman strongly quasi-nonexpansive mapping T in p-uniformly convex Banach spaces which are also uniformly smooth. We prove strong convergence theorem of the sequences generated by our scheme under some appropriate condition...
متن کاملApproximation of Fixed Points for Multi-Valued Nonexpansive Mappings in Banach Spaces
In this paper we deals with the approximation of fixed point for multi-valued nonexpansive mappings through a new iterative process which is independent and faster than the iterative processes discussed by Khan and Yildirim, Panyank et al., Sastry and Babu, Shahzad and Zegeye, Song and Wang, and Song and Cho in uniformly convex Banach spaces. AMS subject classification: 47H10, 54H25.
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: Fixed Point Theory and Applications
سال: 2013
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2013-197