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

共 32 条

[11] Convergence theorem for fixed points of nearly uniformly L-Lipschitzian asymptotically generalized Φ-hemicontractive mappings [J].

Kim, J. K. ;

Sahu, D. R. ;

Nam, Y. M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E2833-E2838

[12]

Kim J K., 2012, NONLINEAR FUNCT ANAL, V17, P225

[13]

Ofem A.E., 2020, MATHLAB J, V7, P43

[14]

Ofem A.E., 2020, NONLINEAR ANAL-THEOR, V3, P100

[15]

Ofem AE., 2020, MALAYA J MATEMATIK, V8, P1643, DOI [10.26637/MJM0804/0053, DOI 10.26637/MJM0804/0053]

[16]

Ofem AE., 2020, Turkis J. Ineq, V4, P79

[17] Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space [J].

Ofoedu, E. U. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (02) :722-728

[18] Modified Noor iterations with errors for nonlinear equations in Banach spaces [J].

Okeke, G. A. ;

Olaleru, J. O. .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (03) :180-187

[19]

Okeke G A., 2013, Int. Journal of Math. Analysis, V7, P1991, DOI [10.12988/ijma.2013.35117, DOI 10.12988/IJMA.2013.35117]

[20] Convergence theorems on asymptotically demicontractive and hemicontractive mappings in the intermediate sense [J].

Olaleru, J. O. ;

Okeke, G. A. .

FIXED POINT THEORY AND APPLICATIONS, 2013,

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