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

Rajagopalan Ramaswamy; Gunaseelan Mani; Arul Joseph Gnanaprakasam; Ola A.Ashour Abdelnaby; Stojan Radenović

doi:10.3390/math10183344

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

Rajagopalan Ramaswamy, Gunaseelan Mani, Arul Joseph Gnanaprakasam, Ola A.Ashour Abdelnaby, Stojan Radenović

Mathematics

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4 Scopus citations

Abstract

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.

Original language	English
Article number	3344
Journal	Mathematics
Volume	10
Issue number	18
DOIs	https://doi.org/10.3390/math10183344
State	Published - Sep 2022

Keywords

Cauchy sequence
common fixed point
complete TVMS
fixed point
TVMS

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10.3390/math10183344

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abstract = "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{\textquoteright}s well-known results. We also explore some of the applications to our key results.",

keywords = "Cauchy sequence, common fixed point, complete TVMS, fixed point, TVMS",

author = "Rajagopalan Ramaswamy and Gunaseelan Mani and Gnanaprakasam, \{Arul Joseph\} and Abdelnaby, \{Ola A.Ashour\} and Stojan Radenovi{\'c}",

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AU - Ramaswamy, Rajagopalan

AU - Mani, Gunaseelan

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AU - Abdelnaby, Ola A.Ashour

AU - Radenović, Stojan

PY - 2022/9

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AB - 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.

KW - Cauchy sequence

KW - common fixed point

KW - complete TVMS

KW - fixed point

KW - TVMS

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

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Keywords

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