Approximating Fixed Points of Operators Satisfying the (Bγ,μ ) Condition

被引：0

作者：

Ullah, Kifayat ^{[1
]}

Abbas, Mujahid ^{[2
]}

Ahmad, Junaid ^{[3
]}

Ahmad, Fayyaz ^{[1
]}

机构：

[1] Univ Lakki Marwat, Dept Math Sci, Lakki Marwat 28420, Khyber Pakhtunk, Pakistan

[2] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan

[3] Int Islamic Univ, Dept Math & Stat, H 10, Islamabad 44000, Pakistan

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2024年 / 19卷 / 01期

关键词：

Condition; B-gamma; B-mu); Condition (I); Convergence result; K * iteration; Banach space; STRONG-CONVERGENCE; MAPPINGS; WEAK;

D O I：

10.61186/ijmsi.19.1.135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose C is any nonempty subset of a Banach space X. A mapping T : C -> C is said to satisfy condition ( B (gamma,mu) ) if there exists gamma is an element of [0,1] and mu is an element of [0, (1)/(2) ] with 2 mu <= gamma such that for each two elements x, y is an element of C, gamma || x - Tx || <= || x - y || + mu || y - Ty || implies || Tx - Ty || <= (1 - gamma) || x - y || + mu ( || x - Ty || + || y - Tx ||). In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting. Our results are new and improve some known results of the literature.

引用

页码：135 / 148

页数：14

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