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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