New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces

نویسندگان

  • Fridoun Moradlou Department of Mathematics, Sahand University of Technology, Tabriz, Iran
  • Sattar Alizadeh Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
چکیده مقاله:

In this paper, applying hybrid projection method, a new modified Ishikawa iteration scheme is presented for finding a common element of the solution set of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in Banach spaces. A numerical example is given and the numerical behaviour of the sequences generated by this algorithm is compared with several existence results in literature to illustrate the usability of obtained results.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Projection Method for Relatively Nonexpansive Mappings in Banach Spaces

We introduce a new projection algorithm for solving the fixed point problem of relatively nonexpansive mappings in the framework of Banach spaces. We also prove the strong convergence theorem for such mappings. Mathematics Subject Classification: 47H09, 47H10

متن کامل

Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces

In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the sequence generated by the proposed algorithm is derived under some suitable assumptions. These results are new and develop some recent results i...

متن کامل

A Strong Convergence Theorem for Relatively Nonexpansive Mappings and Equilibrium Problems in Banach Spaces

and Applied Analysis 3 xn ⇀ x ∈ X and ‖xn‖ → ‖x‖, then xn → x. It is known that if X is uniformly convex, then X has the Kadec-Klee property. The normalized duality mapping J from X to X∗ is defined by Jx { x∗ ∈ X∗ : 〈x, x∗〉 ‖x‖ ‖x∗‖2 } 2.3 for any x ∈ X. We list some properties of mapping J as follows. i If X is a smooth Banach space with Gâteaux differential norm , then J is singlevalued and ...

متن کامل

Hybrid Methods for Equilibrium Problems and Fixed Points Problems of a Countable Family of Relatively Nonexpansive Mappings in Banach Spaces

The purpose of this paper is to introduce hybrid projection algorithms for finding a common element of the set of common fixed points of a countable family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in the framework of Banach spaces. Moreover, we apply our result to the problem of finding a common element of an equilibrium problem and the problem of f...

متن کامل

Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

We introduce a new iterative scheme for nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an innitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results...

متن کامل

Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces

The convex feasibility problem CFP of finding a point in the nonempty intersection ⋂N i 1Ci is considered, where N 1 is an integer and the Ci’s are assumed to be convex closed subsets of a Banach space E. By using hybrid iterative methods, we prove theorems on the strong convergence to a common fixed point for a finite family of relatively nonexpansive mappings. Then, we apply our results for s...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 9  شماره 1

صفحات  147- 159

تاریخ انتشار 2018-08-01

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023