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.
引用
收藏
页数:8
相关论文
共 19 条
[1]   On multivalued maps for φ-contractions involving orbits with application [J].
Ali, Amjad ;
Arshad, Muhammad ;
Asif, Awais ;
Savas, Ekrem ;
Park, Choonkil ;
Shin, Dong Yun .
AIMS MATHEMATICS, 2021, 6 (07) :7532-7554
[2]   On multivalued Suzuki-type θ-contractions and related applications [J].
Ali, Amjad ;
Isik, Huseyin ;
Aydi, Hassen ;
Ameer, Eskandar ;
Lee, Jung Rye ;
Arshad, Muhammad .
OPEN MATHEMATICS, 2020, 18 :386-399
[3]   Hybrid fixed point results via generalized dynamic process for F-HRS type contractions with application [J].
Ali, Amjad ;
Uddin, Fahim ;
Arshad, Muhammad ;
Rashid, Maliha .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 538
[4]  
Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[5]  
Branciari A., 2002, Int J Math Math Sci, V29, P531
[6]   Fixed Point Results for F-Contractive Mappings of Hardy-Rogers-Type [J].
Cosentino, Monica ;
Vetro, Pasquale .
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 [J].
Jarad, Fahd ;
Abdeljawad, Thabet ;
Hammouch, Zakia .
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 [J].
Klim, Dorota ;
Wardowski, Dariusz .
FIXED POINT THEORY AND APPLICATIONS, 2015,