Fixed-point theorems of F* - (ψ, φ) integral-type contractive conditions on 1E-complete multiplicative partial cone metric spaces over Banach algebras and applications

被引：0

作者：

Faried, Nashat ^{[1
]}

Abou Bakr, Sahar Mohamed Ali ^{[1
]}

Abd El-Ghaffar, H. ^{[1
]}

Almassri, S. S. Solieman ^{[1
]}

机构：

[1] Ain Shams Univ, Fac Sci, Dept Math, Cairo, Egypt

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

Multiplicative algebra cones; Multiplicative segments; Multiplicative partial cone metric spaces over Banach algebras; Integral-type inequalities; Fixed points; WEAKLY COMPATIBLE MAPPINGS;

D O I：

10.1186/s13660-023-03056-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce some user-friendly versions of integral-type fixed-point results and give some modifications of the classical Banach contraction principle by constructing a special type of contractive restrictions of integral forms for weak contraction mappings defined on 1(E)-complete multiplicative partial cone metric spaces over Banach algebras and formulate some existence and uniqueness results regarding the fixed-point theorems using some integrative conditions. Moreover, we validate the significance our results and exploit them to find the unique solution of a fractional nonlinear differential equation of Caputo type, which complements some previously well-known generalizations found in the literature.

引用

页数：26

共 6 条

[1] Fixed point and common fixed point theorems on ordered cone metric spaces over Banach algebras
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[4] Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems
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[5] Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems
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[6] Fixed-point theorems of F⋆−(ψ,ϕ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${F}^{\star}- ( \psi,\phi )$\end{document} integral-type contractive conditions on 1E\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$1_{E}$\end{document}-complete multiplicative partial cone metric spaces over Banach algebras and applications
Nashat Faried
Sahar Mohamed Ali Abou Bakr
H. Abd El-Ghaffar
S. S. Solieman Almassri
Journal of Inequalities and Applications, 2023 (1)

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