Iteration Process for Fixed Point Problems and Zeros of Maximal Monotone Operators
نویسندگان
چکیده
منابع مشابه
Hybrid Proximal-Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems
We prove strong and weak convergence theorems of modified hybrid proximal-point algorithms for finding a common element of the zero point of a maximal monotone operator, the set of solutions of equilibrium problems, and the set of solution of the variational inequality operators of an inverse stronglymonotone in a Banach space under different conditions. Moreover, applications to complementarit...
متن کاملA New Hybrid Method for Equilibrium Problems, Variational Inequality Problems, Fixed Point Problems, and Zero of Maximal Monotone Operators
We introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality, the set of solutions of the generalizedmixed equilibrium problem, and zeros of maximal monotone operators in a Banach space. We obtain a strong convergence theorem for the sequences g...
متن کاملA 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 کاملImplicit eigenvalue problems for maximal monotone operators
where T is a maximal monotone multi-valued operator and the operator C satisfies condition (S+) or (S̃+). In a regularization method by the duality operator, we use the degree theories of Kartsatos and Skrypnik upon conditions of C as well as Browder’s degree. There are two cases to consider: One is that C is demicontinuous and bounded with condition (S+); and the other is that C is quasibounded...
متن کاملA System of Generalized Mixed Equilibrium Problems, Maximal Monotone Operators, and Fixed Point Problems with Application to Optimization Problems
and Applied Analysis 3 The generalized mixed equilibrium problems with perturbation is very general in the sense that it includes fixed point problems, optimization problems, variational inequality problems, Nash equilibrium problems, and equilibrium problems as special cases see, e.g., 4, 5 . Numerous problems in physics, optimization, and economics reduce to find a solution of problem 1.2 . S...
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: Symmetry
سال: 2019
ISSN: 2073-8994
DOI: 10.3390/sym11050655