A novel three-step implicit iteration process for three finite family of asymptotically generalized F-hemicontractive mapping in the intermediate sense

被引：1

作者：

Okeke, Godwin Amechi ^{[1
]}

Ofem, Austine Efut ^{[2
,3
]}

机构：

[1] Fed Univ Technol Owerri, Sch Phys Sci, Dept Math, Funct Anal & Optimizat Res Grp Lab FANORG, PMB 1526, Owerri, Imo, Nigeria

[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[3] Univ Uyo, Dept Math, Uyo, Nigeria

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2023年 / 38卷 / 02期

关键词：

fixed point; asymptotically genralized F-hemicontractive mapping in the intermediate sense; uniformly continuos; implicit iteration process; strong convergence; Banach spaces; STRONG-CONVERGENCE; FIXED-POINTS; NONLINEAR EQUATIONS; THEOREM; WEAK; ERRORS;

D O I：

10.1007/s11766-023-4228-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalized Phi-hemicontractive mappings in the intermediate sense. We prove that our proposed iteration process converges to the common fixed point of three finite family of asymptotically generalized Phi-hemicontractive mappings in the intermediate sense. Our results extends, improves and complements several known results in literature.

引用

页码：248 / 263

页数：16

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