Some new φ-fixed point and φ-fixed disc results via auxiliary functions

被引：1
|
作者：
Sun, Yan [1 ]
Liu, Xiao-lan [1 ,2 ]
Deng, Jia [1 ]
Zhou, Mi [3 ,4 ,5 ,6 ]
Zhang, Huan [1 ]
机构：
[1] Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Sichuan, Peoples R China
[2] South Sichuan Ctr Appl Math, Zigong 643000, Sichuan, Peoples R China
[3] Univ Sanya, Sch Sci & Techol, Sanya 572022, Hainan, Peoples R China
[4] Univ Sanya, Ctr Math Reaserch, Sanya 572022, Hainan, Peoples R China
[5] Univ Sanya, Innovat Ctr, Guoliang Chen Team, Sanya 572022, Hainan, Peoples R China
[6] Univ Sanya, Chunming Rong Workstn, Sanya 572022, Hainan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期
基金：
中国国家自然科学基金;
关键词：
phi-fixed point; phi-fixed disc; (gamma; psi; phi; phi); contraction; (psi; phi)(x0); Nonlinear integral equations; CONTRACTION; MAPPINGS;
D O I：
10.1186/s13660-022-02852-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce several new contractions by some auxiliary functions. Then we establish some phi-fixed point results for (gamma, psi, phi, phi) contractions, rational-(gamma, psi, phi, phi) contractions and almost-(gamma, psi, phi, phi) contractions and phi-fixed disc results for (psi, phi, phi)(x0) type 1 contractions, (psi, phi, phi)(x0) type 2 contractions, and (psi, phi, phi)(x0) type 3 contractions in metric spaces. We generalize some existing phi-fixed point and phi-fixed circle results in the literature. Further, we give some examples to demonstrate the usefulness of our results and investigate the existence and uniqueness of solutions of nonlinear integral equations.
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页数：26
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