An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions

被引：3
|
作者：
Ramaswamy, Rajagopalan [1 ]
Mani, Gunaseelan [2 ]
Gnanaprakasam, Arul Joseph [3 ]
Abdelnaby, Ola A. Ashour [1 ,4 ]
Radenovic, Stojan [5 ]
机构：
[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia
[2] Saveetha Sch Engn, Saveetha Inst Med & Tech Sci, Dept Math, Chennai 602105, Tamil Nadu, India
[3] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Math, Kattankulathur 603203, India
[4] Cairo Univ, Dept Math, Cairo 12613, Egypt
[5] Univ Belgrade, Fac Mech Engn, Belgrade 11120, Serbia
来源：
MATHEMATICS | 2022年 / 10卷 / 18期
关键词：
common fixed point; TVMS; complete TVMS; Cauchy sequence; fixed point; THEOREMS; MAPPINGS; CONTRACTIONS;
D O I：
10.3390/math10183344
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we establish fixed-point results for a pair of mappings satisfying some contractive conditions on rational expressions with coefficients as point-dependent control functions in the setting of tricomplex-valued metric spaces. The proven results are extension and generalisation of some of the literature's well-known results. We also explore some of the applications to our key results.
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页数：15
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