A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
نویسندگان
چکیده
منابع مشابه
A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
We introduce a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach space. Then, we study the strong convergence of the sequences. With an appropriate setting, we obtain the corresponding results due to Takahashi-Takahashi and Takahashi-Zembayashi. Some of our results ar...
متن کاملA strong convergence theorem for solutions of zero point problems and fixed point problems
Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated. A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces.
متن کاملStrong Convergence Iterative Algorithms for Equilibrium Problems and Fixed Point Problems in Banach Spaces
and Applied Analysis 3 Recall that the Bregman projection [13] of x ∈ int domf onto the nonempty, closed, and convex subset C of domf is the necessarily unique vector projf C (x) ∈ C satisfying D f (projf C (x) , x) = inf{D f (y, x) : y ∈ C} . (12) Let f : E → (−∞, +∞] be a convex and Gâteaux differentiable function. The function f is said to be totally convex at x ∈ int domf if its modulus of ...
متن کاملa strong convergence theorem for solutions of zero point problems and fixed point problems
zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated. a strong convergence theorem for the common solutions of the problems is established in the framework of hilbert spaces.
متن کاملStrong Convergence Theorems for General Equilibrium Problems and Fixed Point Problems in Banach Spaces1
In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of the general equilibrium problem and the set of fixed point of nonexpansive mappings in Banach space. Under suitable conditions, some strong convergence theorem for approximating a common element of the above two sets are obtained. Results obtained in this paper improve the previously known re...
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: 2011
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2011/572156