极大单调映象的满射定理及其应用

数学季刊 ›› 2008, Vol. 23 ›› Issue (4): 615-620.

极大单调映象的满射定理及其应用

Department of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,China

出版日期:2008-12-30 发布日期:2023-09-18
作者简介:WU Yue-xiang(1965-), male, native of Taiyuan, Shanxi, an associate professor of Shanxi Uni- versity of Finance and Economics, engages in nonlinear functional analysis.
基金资助:
Supported by the Shanxi Gaoxiao Keji Kaifa Yanjiu(2007129)； Supported by Boshi Keyah Qidong Jijin of Shanxi University of Finance and Economics(2006)； Supported by the Natural Science Foundation of Shanxi Province(2008011002-3).；

Some Surjectivity Theorems for Maximal Monotone Operators and Its Application

Department of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,China

Online:2008-12-30 Published:2023-09-18
About author:WU Yue-xiang(1965-), male, native of Taiyuan, Shanxi, an associate professor of Shanxi Uni- versity of Finance and Economics, engages in nonlinear functional analysis.
Supported by:
Supported by the Shanxi Gaoxiao Keji Kaifa Yanjiu(2007129)； Supported by Boshi Keyah Qidong Jijin of Shanxi University of Finance and Economics(2006)； Supported by the Natural Science Foundation of Shanxi Province(2008011002-3).；

摘要/Abstract

摘要： The main purpose of this paper is to study the surjectivity theorems for maximal monotone mapping in reflexive Banach spaces by using fixed point theory.We prove some new surjectivity theorems under some conditions and give its application in differential equation.

关键词: maximal monotone mapping, surjectivity theorems, nonlinear equation

Abstract: The main purpose of this paper is to study the surjectivity theorems for maximal monotone mapping in reflexive Banach spaces by using fixed point theory.We prove some new surjectivity theorems under some conditions and give its application in differential equation.

Key words: maximal monotone mapping, surjectivity theorems, nonlinear equation

中图分类号:

O177.91

武跃祥, 王拉娣 . 极大单调映象的满射定理及其应用[J]. 数学季刊, 2008, 23(4): 615-620.

WU Yue-xiang, WANG La-di. Some Surjectivity Theorems for Maximal Monotone Operators and Its Application [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(4): 615-620.

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