On the Iterative Multivalued ⊥-Preserving Mappings and an Application to Fractional Differential Equation

被引：1

作者：

Nazam, Muhammad ^{[1
]}

Chandok, Sumit ^{[2
]}

Hussain, Aftab ^{[3
]}

Sulmi, Hamed H. Al ^{[3
]}

机构：

[1] Allama Iqbal Open Univ, Dept Math, H-8, Islamabad 44000, Pakistan

[2] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

[3] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 01期

关键词：

fixed point; (V; W)-orthogonal contractions; O-complete metric space; FIXED-POINT; ORTHOGONAL SETS;

D O I：

10.3390/axioms12010053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce orthogonal multivalued contractions, which are based on the recently introduced notion of orthogonality in the metric spaces. We construct numerous fixed point theorems for these contractions. We show how these fixed point theorems aid in the generalization of a number of recently published findings. Additionally, we offer a theorem that establishes the existence of a fractional differential equation's solution.

引用

页数：16

共 50 条

[1] Multivalued problems via orthogonal contraction mappings with application to fractional differential equation
Chandok, Sumit
Sharma, R. K.
Radenovic, Stojan
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2021, 23 (02)
[2] Multivalued problems via orthogonal contraction mappings with application to fractional differential equation
Sumit Chandok
R. K. Sharma
Stojan Radenović
Journal of Fixed Point Theory and Applications, 2021, 23
[3] Stability and convergence of F iterative scheme with an application to the fractional differential equation
Javid Ali
Mohd Jubair
Faeem Ali
Engineering with Computers, 2022, 38 : 693 - 702
[4] REMARKS ON ITERATIVE METHODS FOR MULTIVALUED NONEXPANSIVE MAPPINGS
Xu, Hong-Kun
Alghamdi, Maryam A.
Shahzad, Naseer
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (01) : 161 - 171
[5] Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium problems
M. Eslamian
R. Saadati
J. Vahidi
Computational and Applied Mathematics, 2017, 36 : 1239 - 1253
[6] Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium problems
Eslamian, M.
Saadati, R.
Vahidi, J.
COMPUTATIONAL & APPLIED MATHEMATICS, 2017, 36 (03) : 1239 - 1253
[7] ON MULTIVALUED θ-CONTRACTIONS OF BERINDE TYPE WITH AN APPLICATION TO FRACTIONAL DIFFERENTIAL INCLUSIONS
Meneceur, Maroua
Beloul, Said
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (05): : 1047 - 1063
[8] φ-CONTRACTION AND ITS APPLICATION TO FRACTIONAL DIFFERENTIAL EQUATION
Meena, Gopal
Jain, Satyendra Kumar
Maitra, J. K.
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (08): : 1609 - 1622
[9] Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings
Hammad, Hasanen A.
Agarwal, Praveen
Momani, Shaher
Alsharari, Fahad
FRACTAL AND FRACTIONAL, 2021, 5 (04)
[10] THREE-STEP ITERATIVE ALGORITHM FOR MULTIVALUED NONEPANSIVE MAPPINGS IN CAT(κ) SPACES
Saluja, G. S.
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (03): : 53 - 66

← 1 2 3 4 5 →