Some Generalized Neutrosophic Metric Spaces and Fixed Point Results with Applications

被引：1

作者：

Akram, Mohammad ^{[1
]}

Ishtiaq, Umar ^{[2
]}

Ahmad, Khaleel ^{[3
]}

Lazar, Tania A. ^{[4
]}

Lazar, Vasile L. ^{[4
,5
]}

Guran, Liliana ^{[6
,7
]}

机构：

[1] Islamic Univ Madinah, Fac Sci, Dept Math, Madinah 42351, Saudi Arabia

[2] Quaid I Azam Univ, Dept Math, Islamabad 15320, Pakistan

[3] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan

[4] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania

[5] Vasile Goldis Western Univ Arad, Dept Econ & Tech Sci, Arad 310025, Romania

[6] Babes Bolyai Univ, Dept Hospitality Serv, Horea St 7, Cluj Napoca 400174, Romania

[7] Tech Univ Cluj Napoca, Comp Sci Dept, Cluj Napoca 400027, Romania

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 08期

关键词：

neutrosophic metric space; neutrosophic sets; system of linear equations; existence and uniqueness; THEOREMS;

D O I：

10.3390/sym16080965

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：

This paper contains several novel definitions including neutrosophic E beta metric space, neutrosophic quasi-S beta-metric space, neutrosophic pseudo-S beta-metric space, neutrosophic quasi-E-metric space and neutrosophic pseudo-E beta-metric space. Further, we present some generalized fixed point results with non-trivial examples and the decomposition theorem in the setting of the neutrosophic pseudo-E beta-metric space. Moreover, by using the main result, we examine the existence and uniqueness of the solution to an integral equation, a system of linear equations, and nonlinear fractional differential equations.

引用

页数：29

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