Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 970-977.

• Articles • Previous Articles     Next Articles

On Set-valued Solutions of an Iterative Equation

 ZHONG Ji-Yu, LI Xiao-Pei*   

  1. Department of Mathematics, Zhanjiang Normal University, Guangdong Zhanjiang 524048
  • Received:2009-06-14 Revised:2010-07-15 Online:2011-08-25 Published:2011-08-25
  • Contact: LI Xiao-Pei E-mail:lixp27333@sina.com
  • Supported by:

    广东省自然科学基金 (07301595)和湛江师范学院青年项目(QL0601)资助

Abstract:

A second order iterative functional equation is considered for multifunction in Banach space. A result on the existence and uniqueness of its solution is presented without monotonicity. Furthermore continuous dependence of the solution upon the given function is  obtained.

Key words: Set-valued iterative equation, Existence and uniqueness of solution, Continuous dependence

CLC Number: 

  • 39B12
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