Some applications of fixed point results for monotone multivalued and integral type contractive mappings

被引：1
|
作者：
Majid, Nassar Aiman [1 ,2 ]
AL Jumaili, Alaa [3 ]
Ng, Zhen Chuan [1 ]
Lee, See Keong [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia
[2] Univ Anbar, Coll Appl Sci Hit, Dept Ecol Sci, Ramadi, Iraq
[3] Univ Anbar, Coll Educ Pure Sci, Dept Math, Ramadi, Iraq
来源：
FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING | 2023年 / 2023卷 / 01期
关键词：
Partially ordered D-& lowast; -metric spaces; Upper semicontinuous; Integral form contraction; Generalized weakly contractive condition; Monotone multivalued functions; Coupled fixed point; THEOREMS;
D O I：
10.1186/s13663-023-00748-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The motivation of the present paper is to introduce and establish some new fixed point results for monotone multivalued functions in partially ordered complete D-& lowast;-metric spaces, where the partial ordered set (gamma,Omega). Moreover, several existence and uniqueness coupled fixed point theorems of mappings satisfying contractive conditions have been investigated and verified in the setting of partially ordered complete D-& lowast;-metric spaces by using the concept of integral type contractions with respect to partially ordered D-& lowast;-metric space. Furthermore, we present appropriate examples as an application for our main results. Our results generalize the work of Ghasab, Majani, and Rad on the study of integral type contraction and coupled fixed point theorems in the ordered G-metric spaces.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Some φ-Fixed Point Results for (F,φ,α-ψ)-Contractive Type Mappings with Applications
    Imdad, Mohammad
    Khan, Abdur Rauf
    Saleh, Hayel N.
    Alfaqih, Waleed M.
    [J]. MATHEMATICS, 2019, 7 (02)
  • [2] Fixed Point Results for Multivalued Presic Type Weakly Contractive Mappings
    Latif, Abdul
    Nazir, Talat
    Abbas, Mujahid
    [J]. MATHEMATICS, 2019, 7 (07)
  • [3] Some fixed point theorems for contractive mappings of integral type
    Liu, Zeqing
    Wang, Yuqing
    Kang, Shin Min
    Kwun, Young Chel
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3566 - 3580
  • [4] FIXED POINT THEOREMS FOR α-ψ-CONTRACTIVE TYPE MAPPINGS OF INTEGRAL TYPE WITH APPLICATIONS
    Shahi, Priya
    Kaur, Jatinderdeep
    Bhatia, S. S.
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (04) : 745 - 760
  • [5] Multivalued F-contractive mappings with a graph and some fixed point results
    Acar, Ozlem
    Altun, Ishak
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, 88 (3-4): : 305 - 317
  • [6] SOME FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MULTIVALUED MAPPINGS SATISFYING SOME GENERAL CONTRACTIVE CONDITIONS OF INTEGRAL TYPE
    Altun, I.
    Turkoglu, D.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2010, 36 (01): : 55 - 67
  • [7] Stability Results for Fixed Point Sets of α* - ψ Contractive Multivalued Mappings
    Choudhury, Binayak S.
    Bandyopadhyay, Chaitali
    Pant, Rajendra
    [J]. FILOMAT, 2017, 31 (12) : 3665 - 3670
  • [8] Some Fixed Point Results for (α, β)-(ψ, φ)-Contractive Mappings
    Alizadeh, Sattar
    Moradlou, Fridoun
    Salimi, Peyman
    [J]. FILOMAT, 2014, 28 (03) : 635 - 647
  • [9] Fixed Point Results for Multivalued Mappings with Applications
    Khan, Arshad
    Sarwar, Muhammad
    Khan, Farhan
    Alsamir, Habes
    Hammad, Hasanen A.
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [10] Fixed Points and Stability for Integral-Type Multivalued Contractive Mappings
    An, Zhefu
    Li, Mengyao
    Zhao, Liangshi
    [J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
12345