Equivalence of Certain Iteration Processes Obtained by Two New Classes of Operators

被引：15

作者：

Abbas, Mujahid ^{[1
,2
]}

Anjum, Rizwan ^{[3
]}

Berinde, Vasile ^{[4
,5
]}

机构：

[1] Govt Coll Univ, Dept Math, Katchery Rd, Lahore 54000, Pakistan

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan

[4] Tech Univ Cluj Napoca, North Univ Ctr, Dept Math & Comp Sci, Baia Mare 430122, Romania

[5] Acad Romanian Sci, Ilfov Str 3, Bucharest 50044, Romania

来源：

MATHEMATICS | 2021年 / 9卷 / 18期

关键词：

fixed point; Ishikawa iteration; Mann iteration; Krasnoselskij iteration; MANN ITERATIONS; POINT THEOREMS; FIXED-POINTS; CONTRACTIONS; CONVERGENCES; ISHIKAWA;

D O I：

10.3390/math9182292

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is two fold: the first is to define two new classes of mappings and show the existence and iterative approximation of their fixed points; the second is to show that the Ishikawa, Mann, and Krasnoselskij iteration methods defined for such classes of mappings are equivalent. An application of the main results to solve split feasibility and variational inequality problems are also given.

引用

页数：15

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