On relation-theoretic F-contractions and applications in F-metric spaces

被引：0
|
作者：
Tomar, Anita [1 ]
Joshi, Meena [2 ]
Padaliya, S. K. [3 ]
机构：
[1] Sri Dev Suman Uttarakhand Univ, Pt L M S Campus, Rishikesh 249201, India
[2] Soban Singh Jeena Uttarakhand Univ, S S J Campus, Almora 263601, India
[3] SGRR PG Coll, Dehra Dun 248001, Uttarakhand, India
来源：
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2023年 / 15卷 / 02期
关键词：
binary relation; F-metric space; R-completeness; relation-theoretic contraction; PARTIALLY ORDERED SETS; FIXED-POINT THEOREM; COINCIDENCE;
D O I：
10.2478/ausm-2023-0018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim is to introduce some relation theoretic variants of F-contraction in an F-metric space endowed with a binary relation R and to prove results for its fixed point. In the sequel, several classes of contractions are sharpened, generalized, and improved. Numerical examples are presented to illustrate the theoretical conclusions. As applications of the main results, we solve a Dirichlet-Neumann initial value problem and two Dirichlet boundary value problems.
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页码：314 / 336
页数：23
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