A common fixed point theorem for compatible mappings with application to functional equations arising in dynamic programming

被引：0
|
作者：
Wang, WL [1 ]
Kang, SM [1 ]
机构：
[1] Dalian Inst Light Ind, Basis Courses Teaching Dept, Dalian 116034, Liaoning, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS, VOL 5 | 2004年
关键词：
common fixed point; complete metric space; compatible mapping; a system of functional equations; dynamic programming;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A common fixed point theorem for two pairs of compatible mappings is proved which generalizes the results of Jungck [4] and Liu [2]. As application, the existence of common solutions for a system of functional equations arising in dynamic programming is discussed.
引用
收藏
页码：155 / 161
页数：7
相关论文
共 50 条
  • [31] A COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS IN SYMMETRIC SPACES SATISFYING AN IMPLICIT RELATION
    Turkoglu, Duran
    Altun, Ishak
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2007, 13 (01): : 195 - 205
  • [32] A COMMON FIXED POINT THEOREM FOR COMPATIBLE MAPPINGS IN FUZZY METRIC SPACES USING IMPLICIT RELATION
    Zikic-Dosenovic, T.
    ACTA MATHEMATICA HUNGARICA, 2009, 125 (04) : 357 - 368
  • [33] Common tripled fixed point theorem for W-compatible mappings in fuzzy metric spaces
    Tian, Jing-Feng
    Hu, Xi-Mei
    Zhao, Hong-Shan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 806 - 818
  • [34] Common fixed point theorems for contractive type mappings and their applications in dynamic programming
    Liu, Zeqing
    Wang, Lili
    Kim, Hyeong Kug
    Kang, Shin Min
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (03) : 573 - 585
  • [35] A common fixed point theorem for a pair of fuzzy mappings
    Lee, BS
    Lee, GM
    Cho, SJ
    Kim, DS
    FUZZY SETS AND SYSTEMS, 1998, 98 (01) : 133 - 136
  • [36] A COMMON FIXED-POINT THEOREM FOR THE COMMUTING MAPPINGS
    STOJAKOVIC, M
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1986, 17 (04): : 466 - 475
  • [37] A COMMON FIXED-POINT THEOREM FOR A CLASS OF MAPPINGS
    KHAN, MS
    IMDAD, M
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1983, 14 (10): : 1220 - 1227
  • [38] A Unified Common Fixed Point Theorem for a Family of Mappings
    Dalakoti, Vijay
    Bisht, Ravindra K.
    Pant, R. P.
    Joshi, Mahesh C.
    FILOMAT, 2021, 35 (03) : 759 - 769
  • [39] A COMMON FIXED-POINT THEOREM FOR COMMUTING MAPPINGS
    CHANG, SS
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 83 (03) : 645 - 652
  • [40] A Common Fixed Point Theorem for Gregus Type Mappings
    Diwan, S. D.
    Gupta, Rajlaxmi
    THAI JOURNAL OF MATHEMATICS, 2014, 12 (01): : 103 - 112
12345