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đ’„â„‹â€Operator Pairs with Application to Functional Equations Arising in Dynamic Programming

Author

Listed:
  • A. Razani
  • B. Moeini

Abstract

Some common fixed point theorems for đ’„â„‹â€operator pairs are proved. As an application, the existence and uniqueness of the common solution for systems of functional equations arising in dynamic programming are discussed. Also, an example to validate all the conditions of the main result is presented.

Suggested Citation

  • A. Razani & B. Moeini, 2014. "đ’„â„‹â€Operator Pairs with Application to Functional Equations Arising in Dynamic Programming," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:283158
    DOI: 10.1155/2014/283158
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    References listed on IDEAS

    as
    1. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Nan-Jing Huang & Byung Soo Lee & Mee Kwang Kang, 1997. "Fixed point theorems for compatible mappings with applications to the solutions of functional equations arising in dynamic programmings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-8, January.
    3. H. K. Pathak & Y. J. Cho & S. M. Kang, 1998. "Common fixed points of biased maps of type ( A ) and applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-13, January.
    4. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    5. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-6, January.
    Full references (including those not matched with items on IDEAS)

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