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Common fixed point theorems with applications to the solutions of functional equations arising in dynamic programming

Min Liu|강신민|Zeqing Liu|Hyeong Kug Kim
대한수학회 (The Korean Mathematical Society)|2009.01|대한수학회논문집 (Communications of the KMS)|제24권 제1호|pp. 67-83

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참고문헌

키워드

complete metric spacedynamic programmingcommon fixed pointsystem of functional equationscommon solutioncontinuous mapping
주제분류수학

초록

Several common fixed point theorems fora few contractive type mappings in complete metric spaces areestablished. As applications, the existence and uniqueness ofcommon solutions for certain systems of functional equationsarising in dynamic programming are discussed.

Abstract

Several common fixed point theorems fora few contractive type mappings in complete metric spaces areestablished. As applications, the existence and uniqueness ofcommon solutions for certain systems of functional equationsarising in dynamic programming are discussed.

참고문헌 (16)

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  3. P. C. Bhakta, "Some existence theorems for functional equations arising in dynamic programming", J. Math. Anal. Appl., 98, pp.348~362 (1984)
  4. Z. Liu, "Existence theorems of solutions for certain classes of functional equations arising in dynamic programming", J. Math. Anal. Appl., 262, pp.529~553 (2001)
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  7. Z. Liu, "A note on unique common xed point", Bull. Cal. Math. Soc., 85, pp.469~472 (1993)
  8. Z. Liu, "On solvability of functional equations and system of functional equations arising in dynamic programming", J. Math. Anal. Appl., 297, pp.111~130 (2004)
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  10. Z. Liu, "Existence and uniqueness of solutions for two classes of functional equations arising in dynamic programming", Acta Math. Appl. Sin., 23, pp.195~208 (2007)
  11. Z. Liu, "A common xed point theorem with applications in dynamic programming", Nonlinear Funct. Anal. & Appl., 1, pp.11~19 (2006)
  12. Z. Liu, "On properties of solutions for a class of functional equations arising in dynamic programming", J. Optim. Theory Appl., 117, pp.533~551 (2003)
  13. Zeqing Liu, "Some existence theorems for functional equations arising indynamic programming", 대한수학회지, 43(1), pp.11~28 (2006), 대한수학회
  14. Z. Liu, "Solutions to two functional equations arising in dynamic programming", J. Comput. Appl. Math., 192, pp.251~269 (2006)
  15. H. K. Pathak, "Common xed point theorems with applications in dynamic programming", Glasnik Mate., 31, pp.321~328 (1996)
  16. B. N. Ray, "On common xed points in metric spaces", Indian J. pure appl. Math., 19, pp.960~962 (1988)

관련 논문AI추천

Common fixed point theorems for contractive type mappings and their applications in dynamic programming강신민, Hyeong Kug Kim, Lili Wang, Zeqing Liu대한수학회 · 대한수학회보2008 · 제45권 제3호Common Fixed Point Theorems for Compatible Mappings of Type (A) and (P) with Applications in Dynamic Programming강신민, 이석진, Guojing Jiang, Min Liu영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호SOME FIXED POINT THEOREMS VIA COMMON LIMIT RANGE PROPERTY IN NON-ARCHIMEDEAN MENGER PROBABILISTIC METRIC SPACESHemant Kumar Nashine, Zoran Kadelburg대한수학회 · 대한수학회보2015 · 제52권 제3호Some New Applications of S-metric Spaces by Weakly Compatible Pairs with a Limit PropertyJ. Mojaradi Afra, M. Sabbaghan한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제1호Common fixed point and invariant approximation in Menger convex metric spacesJong Kyu Kim, Mujahid Abbas, Nawab Hussain대한수학회 · 대한수학회보2008 · 제45권 제4호Common Fixed Points of Generalized Contractive Mappings유미자, 조선영영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호

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