Applications to Solving Variational Inequality Problems via MR-Kannan Type Interpolative Contractions

被引：0
|
作者：
Anjum, Rizwan [1 ]
Fulga, Andreea [2 ]
Akram, Muhammad Waqar [1 ]
机构：
[1] Univ Educ, Dept Math, Div Sci & Technol, Lahore 54770, Pakistan
[2] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500123, Romania
来源：
MATHEMATICS | 2023年 / 11卷 / 22期
关键词：
Kannan contraction; interpolative Kannan type contraction; enriched Kannan operators; enriched interpolative Kannan type contraction; fixed point; well-posedness; variational inequality problem; periodic point property; Ulam-Hyers stability; POINT-OF-VIEW; FIXED-POINTS; ITERATIVE APPROXIMATION;
D O I：
10.3390/math11224694
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is manifold. We first define the new class of operators called MR-Kannan interpolative type contractions, which includes the Kannan, enriched Kannan, interpolative Kannan type, and enriched interpolative Kannan type operators. Secondly, we prove the existence of a unique fixed point for this class of operators. Thirdly, we study Ulam-Hyers stability, well-posedness, and periodic point properties. Finally, an application of the main results to the variational inequality problem is given.
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页数：11
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