Coupled common fixed point results involving (φ,ψ)-contractions in ordered generalized metric spaces with application to integral equations

被引：2
作者：
Jain, Manish [1 ]
Tas, Kenan [2 ]
Gupta, Neetu [3 ]
机构：
[1] Ahir Coll, Dept Math, Rewari 123401, India
[2] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey
[3] YMCAUST, HAS Dept, Faridbad, India
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
partially ordered set; mixed g-monotone property; coupled coincidence point; coupled common fixed point; NONLINEAR CONTRACTIONS; THEOREMS; MAPPINGS; SETS;
D O I：
10.1186/1029-242X-2013-372
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying -contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given. MSC: 54H10, 54H25.
引用
收藏
页数：22
相关论文
共 37 条
  • [1] Common fixed point results for noncommuting mappings without continuity in generalized metric spaces
    Abbas, M.
    Rhoades, B. E.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) : 262 - 269
  • [2] Coupled common fixed point results in two generalized metric spaces
    Abbas, Mujahid
    Khan, Abdul Rahim
    Nazir, Talat
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) : 6328 - 6336
  • [3] Some periodic point results in generalized metric spaces
    Abbas, Mujahid
    Nazir, Talat
    Radenovic, Stojan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) : 4094 - 4099
  • [4] On a Theorem of Khan in a Generalized Metric Space
    Ahmad, Jamshaid
    Arshad, Muhammad
    Vetro, Calogero
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
  • [5] Some Common Fixed Point Results in Rectangular Metric Spaces
    Arshad, Muhammad
    Ahmad, Jamshaid
    KarapJnar, Erdal
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
  • [6] Fixed point of a pair of contractive dominated mappings on a closed ball in an ordered dislocated metric space
    Arshad, Muhammad
    Shoaib, Abdullah
    Beg, Ismat
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [7] Some unique fixed point theorems for rational contractions in partially ordered metric spaces
    Arshad, Muhammad
    Karapinar, Erdal
    Ahmad, Jamshaid
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [8] Tripled coincidence point results for generalized contractions in ordered generalized metric spaces
    Aydi, Hassen
    Karapinar, Erdal
    Shatanawi, Wasfi
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [9] Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces
    Aydi, Hassen
    Postolache, Mihai
    Shatanawi, Wasfi
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) : 298 - 309
  • [10] Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces
    Aydi, Hassen
    Damjanovic, Bosko
    Samet, Bessem
    Shatanawi, Wasfi
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 2443 - 2450
1234