Existence of Common Fixed Point for b-Metric Rational Type Contraction

被引：10
作者：
Abbas, Mujahid [1 ,2 ]
Chema, Imran Zulfiqar [3 ]
Razani, Abdolrahman [4 ]
机构：
[1] Univ Pretoria, Dept Math & Appl Math, Lymwood Rd, ZA-0002 Pretoria, South Africa
[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[3] COMSATS Inst Informat Technol, Dept Math, Lahore, Pakistan
[4] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin 3414916818, Iran
来源：
FILOMAT | 2016年 / 30卷 / 06期
关键词：
common fixed point; compatible maps; b-metric space; partially ordered set; PARTIALLY ORDERED SETS; MAPPINGS; THEOREMS; MAPS;
D O I：
10.2298/FIL1606413A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation.
引用
收藏
页码：1413 / 1429
页数：17
相关论文
共 39 条
  • [11] Boriceanu M., 2009, Int. J. Modern Math, V4, P285
  • [12] Boriceanu M., 2009, MATHEMATICA, VLIV
  • [13] Multivalued fractals in b-metric spaces
    Boriceanu, Monica
    Bota, Marius
    Petrusel, Adrian
    [J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (02): : 367 - 377
  • [14] Czerwik S., 1993, Acta Math. Univ. Ostrav., V1, P5
  • [15] Czerwik S., 1998, Atti Semin. Mat. Fis. Univ. Modena., V46, P263
  • [16] Ding H.-Sh., 2015, ARAB J MATH SCI
  • [17] Common fixed point for generalized (ψ, φ)-weak contractions
    Doric, Dragan
    [J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (12) : 1896 - 1900
  • [18] CONTRACTIVE MAPPINGS
    GERAGHTY, MA
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 40 (02) : 604 - 608
  • [19] Gordji M., 2012, FIXED POINT THEORY A, V74
  • [20] Huang H., 2015, FIXED POINT THEORY A, V2015
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