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Solvability and iterative approximations for a functional equation

Author

Listed:
  • Zeqing Liu
  • Jingjing Zhu
  • Shin Kang
  • Jeong Ume

Abstract

This paper studies the existence, uniqueness and iterative approximations of solutions, bounded solutions and continuous bounded solutions for a functional equation arising in dynamic programming of multistage decision processes by using fixed point theorems and the iterative methods in complete metric spaces and Banach spaces, respectively. Four examples are given to illustrate the validity and applications of the results presented in this paper. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Zeqing Liu & Jingjing Zhu & Shin Kang & Jeong Ume, 2013. "Solvability and iterative approximations for a functional equation," Journal of Global Optimization, Springer, vol. 57(3), pages 969-995, November.
    • Handle: RePEc:spr:jglopt:v:57:y:2013:i:3:p:969-995
    DOI: 10.1007/s10898-012-9986-0
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