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随机模糊映射的随机广义集值非线性混合变分包含

张超

四川师范大学学报(自然科学版)2013,Vol.36Issue(4):567-572,6.
四川师范大学学报(自然科学版)2013,Vol.36Issue(4):567-572,6.DOI:10.3969/j.issn.1001-8395.2013.04.017

随机模糊映射的随机广义集值非线性混合变分包含

Random Generalized Set-valued Nonlinear Mixed Variational Inclusion for Random Fuzzy Mappings

张超1

作者信息

  • 1. 淮南师范学院数学与计算科学系,安徽淮南232001
  • 折叠

摘要

Abstract

In this paper,we introduce and study a new random generalized set-valued nonlinear mixed variational inclusion for random fuzzy mappings and construct a new random iteradve algorithm for approximating the random solutions of random generalized set-valued nonlinear mixed variational inclusion.By using the proximal mapping technique for generalized monotone mappings,we also discuss the existence of random solutions for random generalized set-valued nonlinear mixed variational inclusion and the convergence of random iterative sequences generated by the random iterative algorithm.The results presented in this paper improve and generalize some known corresponding results in the literature.

关键词

随机广义集值非线性混合变分包含/随机模糊映射/随机迭代算法/存在性/收敛性

Key words

random generalized set-valued nonlinear mixed variational inclusion/ random fuzzy mappings/random iterative algorithm/ existence/ convergence

分类

数理科学

引用本文复制引用

张超..随机模糊映射的随机广义集值非线性混合变分包含[J].四川师范大学学报(自然科学版),2013,36(4):567-572,6.

基金项目

This work is supported by Important Natural Science Foundation for Universities of Anhui Province(KJ2011Z357) (KJ2011Z357)

安徽省教育厅重点科研基金(KJ2011Z357)资助项目 (KJ2011Z357)

四川师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-8395

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