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.
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页数：26
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