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Solvability and iterative approximations for a functional equation |
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| Authors: | Zeqing Liu Jingjing Zhu Shin Min Kang Jeong Sheok Ume |
| Institution: | 1. Department of Mathematics, Liaoning Normal University, Dalian, 116029, Liaoning, People’s Republic of China 2. Department of Mathematics and RINS, Gyeongsang National University, Jinju, 660-701, Korea 3. Department of Applied Mathematics, Changwon National University, Changwon, 641-773, Korea |
| 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. |
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