Fixed Point Results via Orthogonal (α - η - G)-Contraction in Orthogonal Complete Metric Space

被引：0

作者：

Liu, Xiaolan ^{[1
,2
,3
]}

Nallaselli, Gunasekaran ^{[4
]}

Ul Haq, Absar ^{[5
]}

Gnanaprakasam, Arul Joseph ^{[4
]}

Baloch, Imran Abbas ^{[6
,7
]}

机构：

[1] Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China

[2] Key Lab Higher Educ Sichuan Prov Enterprise Infor, Zigong 643000, Peoples R China

[3] South Sichuan Ctr Appl Math, Zigong 643000, Peoples R China

[4] SRM Inst Sci & Technol, Dept Math, Coll Engn & Technol, Kattankulathur 603203, India

[5] Univ Engn & Technol Narowal Campus, Dept Nat Sci & Humanities, Lahore 54000, Pakistan

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

[7] Govt Grad Coll Boys Gulberg, Higher Educ Dept, Lahore 54600, Pakistan

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 09期

基金：

中国国家自然科学基金;

关键词：

fixed point; orthogonal metric space; orthogonal alpha-admissible mapping; orthogonal (alpha - eta - G)-contraction; CONTRACTION; MAPPINGS; THEOREMS;

D O I：

10.3390/sym15091762

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this publication, we establish a suitable symmetry structure for orthogonal (alpha-eta-G)-contractive mappings and prove fixed point results for an orthogonal (alpha-eta-G)-contractive via orthogonal metric spaces. We give an application to strengthen our main results from the existing literature to prove the existence of a unique analytical solution to the differential equation by converting it into an integral equation through fixed point analysis.

引用

页数：12

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