Existence of solutions for boundary value problems and nonlinear matrix equations via F-contraction mappings in b-metric spaces

被引：0
|
作者：
Mebawondu, Akindele Adebayo [1 ,2 ]
Izuchukwu, Chinedu [1 ,2 ]
Ogwo, Grace Nnennaya [1 ]
Mewomo, Oluwatosin Temitope [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[2] DSI NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
Suzuki-Geraghty-(alpha; beta)-F-contraction mappings; generalized Suzuki-type (alpha; cyclic; (alpha; beta)-admissible mappings; fixed point; metric space; FIXED-POINT THEOREMS; ADAPTIVE STEP-SIZE; CONVERGENCE; EQUILIBRIUM; ALGORITHM; FAMILY;
D O I：
10.1142/S1793557122502011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to present some sufficient conditions for the existence of solutions for nonlinear matrix equations and the second-order two-point boundary value problems for nonlinear ordinary differential equations via fixed point theorem. To do this, we introduce two classes of mappings called the Suzuki-Geraghty-(alpha, beta)-F-contraction mappings and generalize Suzuki-type (alpha, beta)-F-contraction mappings and establish some fixed point results for these classes of mappings. The results obtained in this work complements, extends, generalizes, and improves some known results in the literature.
引用
收藏
页数：26
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