Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (4): 615-620.

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Some Surjectivity Theorems for Maximal Monotone Operators and Its Application 

  

  1. 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).;

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

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