Fixed point results of enriched interpolative Kannan type operators with applications

被引：11

作者：

Abbas, Mujahid ^{[1
,2
]}

Anjum, Rizwan ^{[3
]}

Riasat, Shakeela ^{[4
]}

机构：

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

[2] Univ Pretoria, Dept Math & Appl Math, Hatfield 002, Pretoria, South Africa

[3] Riphah Int Univ, Riphah Inst Comp & Appl Sci, Dept Math, Lahore, Pakistan

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

来源：

APPLIED GENERAL TOPOLOGY | 2022年 / 23卷 / 02期

关键词：

fixed point; enriched Kannan operators; interpolative Kannan type contraction; Krasnoselskii iteration; well-posedness; periodic point; Ulam-Hyers stability; variational inequality problem; BANACH-SPACES; CONTRACTIONS; ITERATION;

D O I：

10.4995/agt.2022.16701

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains the classes of enriched Kannan operators, interpolative Kannan type contraction operators and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. A convergence theorem for the Krasnoselskii iteration method to approximate fixed point of the enriched interpolative Kannan type operators is proved. We study well-posedness, Ulam-Hyers stability and periodic point property of operators introduced herein. As an application of the main result, variational inequality problem is solved.

引用

页码：391 / 404

页数：14