Coincidence and fixed points of multivalued F-contractions in generalized metric space with application

被引:26
|
作者
Saleem, Naeem [1 ,2 ]
Iqbal, Iram [3 ]
Iqbal, Bilal [4 ]
Radenovic, Stojan [5 ]
机构
[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Univ Sargodha, Dept Math, Sargodha, Pakistan
[4] Univ Management & Technol, Dept Math, Lahore, Pakistan
[5] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120 35, Serbia
关键词
Fixed point; common fixed point; coincidence point; periodic point; F-contraction; !text type='JS']JS[!/text]-generalized metric space; THEOREMS; MAPPINGS;
D O I
10.1007/s11784-020-00815-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of the paper was to prove some new fixed point theorems, coincidence point theorems and common fixed point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order, in the context of generalized metric spaces (in the sense of Jleli and Samet). We also prove existence of common solutions to integral inclusions.
引用
收藏
页数:24
相关论文
共 50 条
  • [1] Coincidence and fixed points of multivalued F-contractions in generalized metric space with application
    Naeem Saleem
    Iram Iqbal
    Bilal Iqbal
    Stojan Radenovíc
    [J]. Journal of Fixed Point Theory and Applications, 2020, 22
  • [2] Fixed points of multivalued nonlinear F-contractions on complete metric spaces
    Altun, Ishak
    Minak, Gulhan
    Olgun, Murat
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (02): : 201 - 210
  • [3] Common fixed points of multivalued F-contractions on metric spaces with a directed graph
    Abbas, Mujahid
    Alfuraidan, Monther R.
    Nazir, Talat
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2016, 32 (01) : 1 - 12
  • [4] GENERALIZED MULTIVALUED F-CONTRACTIONS ON COMPLETE METRIC SPACES
    Acar, O.
    Durmaz, G.
    Minak, G.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (06): : 1469 - 1478
  • [5] Generalized multivalued F-contractions on incomplete metric spaces
    Baghani, Hamid
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (02): : 70 - 84
  • [6] Some new types multivalued F-contractions on quasi metric spaces and their fixed points
    Hancer, Hatice Aslan
    Olgun, Murat
    Altun, Ishak
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (01) : 41 - 50
  • [7] Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space
    Bucur, Amelia
    [J]. SYMMETRY-BASEL, 2020, 12 (01):
  • [8] Fixed point theorems for generalized multivalued nonlinear F-contractions
    Iqbal, Iram
    Hussain, Nawab
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5870 - 5893
  • [9] Multivalued F-Contractions and Related Fixed Point Theorems with an Application
    Ali, Muhammad Usman
    Kamran, Tayyab
    [J]. FILOMAT, 2016, 30 (14) : 3779 - 3793
  • [10] MULTIVALUED F-CONTRACTIONS ON COMPLETE METRIC SPACES
    Altun, Ishak
    Minak, Gulhan
    Dag, Hacer
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (04) : 659 - 666