Fixed Point Results of Dynamic Process D (Y,μ0) through FI(c)-Contractions with Applications

被引:3
作者
Ali, Amjad [1 ]
Ameer, Eskandar [2 ]
Arshad, Muhammad [1 ]
Isik, Huseyin [3 ]
Mudhesh, Mustafa [1 ]
机构
[1] Int Islamic Univ, Dept Math & Stat, Islamabad 44000, Pakistan
[2] Taiz Univ, Dept Math, Taizi, Yemen
[3] Bandirma Onyedi Eylul Univ, Dept Engn Sci, TR-10200 Bandirma, Balikesir, Turkey
关键词
F-CONTRACTION;
D O I
10.1155/2022/8495451
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article constitutes the new fixed point results of dynamic process D(upsilon, mu(0)) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence. The main results are examined by tangible nontrivial examples which display the motivation for such investigation. The work is completed by giving an application to Liouville-Caputo fractional differential equations.
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页数:8
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共 19 条
  • [1] On multivalued maps for φ-contractions involving orbits with application
    Ali, Amjad
    Arshad, Muhammad
    Asif, Awais
    Savas, Ekrem
    Park, Choonkil
    Shin, Dong Yun
    [J]. AIMS MATHEMATICS, 2021, 6 (07): : 7532 - 7554
  • [2] On multivalued Suzuki-type θ-contractions and related applications
    Ali, Amjad
    Isik, Huseyin
    Aydi, Hassen
    Ameer, Eskandar
    Lee, Jung Rye
    Arshad, Muhammad
    [J]. OPEN MATHEMATICS, 2020, 18 : 386 - 399
  • [3] Hybrid fixed point results via generalized dynamic process for F-HRS type contractions with application
    Ali, Amjad
    Uddin, Fahim
    Arshad, Muhammad
    Rashid, Maliha
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 538
  • [4] Banach S., 1922, Fund. Math, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]
  • [5] Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
  • [6] Fixed Point Results for F-Contractive Mappings of Hardy-Rogers-Type
    Cosentino, Monica
    Vetro, Pasquale
    [J]. FILOMAT, 2014, 28 (04) : 715 - 722
  • [7] Isik H, 2018, U POLITEH BUCH SER A, V80, P13
  • [8] On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
    Jarad, Fahd
    Abdeljawad, Thabet
    Hammouch, Zakia
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 117 : 16 - 20
  • [9] Kaddouri H, 2019, U POLITEH BUCH SER A, V81, P31
  • [10] Fixed points of dynamic processes of set-valued F-contractions and application to functional equations
    Klim, Dorota
    Wardowski, Dariusz
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2015,