(ρ, η, μ)-Interpolative Kannan Contractions I

被引：4

作者：

Gaba, Yae Ulrich ^{[1
,2
,3
,4
]}

Aydi, Hassen ^{[4
,5
,6
]}

Mlaiki, Nabil ^{[7
]}

机构：

[1] Inst Math & Sci Phys IMSP UAC, Lab Topol Fondamentale Computat & Leurs Applicat, BP 613, Porto Novo, Benin

[2] African Ctr Adv Studies ACAS, POB 4477, Yaounde 7535, Cameroon

[3] AIMS Rwanda Ctr, Quantum Leap Africa QLA, Remera Sect, KN 3, Kigali, Rwanda

[4] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, POB 60, ZA-0208 Ga Rankuwa, South Africa

[5] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[6] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[7] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

来源：

AXIOMS | 2021年 / 10卷 / 03期

关键词：

(rho; eta; mu)-interpolative Kannan contraction; fixed point; metric space;

D O I：

10.3390/axioms10030212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We point out a vital error in the paper of Gaba et al. (2019), showing that a (rho,eta,mu) interpolative Kannan contraction in a complete metric space need not have a fixed point. Then we give an appropriate restriction on a (rho,eta,mu)-interpolative Kannan contraction that guarantees the existence of a fixed point and provide an equivalent formulation. Moreover, we show that this formulation can be extended to the interpolative Reich-Rus-Ciric type contraction.

引用

页数：7

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