Strong convergence to a solution of nonlinear equations

被引：0

作者：

Sharma, Shagun ^{[1
]}

Chandok, Sumit ^{[1
]}

机构：

[1] Thapar Inst Engn & Technol, Patiala 147004, India

来源：

FILOMAT | 2024年 / 38卷 / 24期

关键词：

fixed point; Banach space; nonexpansive mappings; strongly pseudocontractive; FIXED-POINTS; ITERATION; MAPPINGS;

D O I：

10.2298/FIL2424663S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose an algorithm for approximating the common fixed points of nonexpansive mappings and strongly pseudocontractive mappings. We include a few numerical examples to support our assertions and demonstrate that our technique converges faster. Consequently, we obtain an algorithm that converges strongly to the fixed point of the mapping. Also, under some assumptions, we obtain that our iterative process converges to a solution of fractional iterative integrodifferential and ordinary differential equations.

引用

页码：8663 / 8675

页数：13

共 16 条

[1]

Agarwal RP, 2007, J NONLINEAR CONVEX A, V8, P61

[2]

Berinde V., 2004, FIXED POINT THEORY A, V2004, P97, DOI [10.1155/s1687182004311058, DOI 10.1155/S1687182004311058]

[3] NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE [J].