Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms

نویسندگان

  • M. Alimohammady Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran, 47416-1468.
  • M. Ramazannejad Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran, 47416-1468.
  • R. J. Shahkoohi Aliabad Katoul Branch Islamic Azad University,
  • Z. Bagheri Azadshahr Branch, Islamic Azad University
چکیده مقاله:

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monotone operators.

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 Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators

In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of c...

متن کامل

Modified Proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities

* Correspondence: poom. [email protected] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangmod, Thrungkru, Bangkok 10140, Thailand Full list of author information is available at the end of the article Abstract In this article, we prove strong and weak convergence theorems of modified proximal point algorithms for finding a common elemen...

متن کامل

Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces

LetH be a real Hilbert space, Ω a nonempty closed convex subset ofH, and T : Ω → 2 a maximal monotone operator with T−10/ ∅. Let PΩ be the metric projection of H onto Ω. Suppose that, for any given xn ∈ H, βn > 0, and en ∈ H, there exists xn ∈ Ω satisfying the following set-valued mapping equation: xn en ∈ xn βnT xn for all n ≥ 0, where {βn} ⊂ 0, ∞ with βn → ∞ as n → ∞ and {en} is regarded as a...

متن کامل

A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and zero points of maximal monotone operators

* Correspondence: poom. [email protected] Department of Mathematics, Faculty of Science, King Mongkut’s University, of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand Full list of author information is available at the end of the article Abstract In this article, we introduce a new iterative scheme for finding a common element of the set of fixed points of strongly relatively nonexp...

متن کامل

An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces

We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly convex Banach space, and then we prove weak and strong convergence theorems by using the notion of generalized projection. The result presented in ...

متن کامل

Convergence Theorems of Approximate Proximal Point Algorithm for Zeroes of Maximal Monotone Operators in Hilbert Spaces

In this paper, we introduce two kinds of iterative algorithms for finding zeroes of maximal monotone operators, and establish strong and weak convergence theorems of the modified proximal point algorithms. By virtue of the established theorems, we consider the problem of finding a minimizer of a convex function. Mathematics Subject Classification: Primary 47H17; Secondary 47H05, 47H10

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 12  شماره None

صفحات  73- 99

تاریخ انتشار 2017-09

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

کلمات کلیدی

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023