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 and Stojan Radenović
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Rajagopalan Ramaswamy: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi Arabia
Gunaseelan Mani: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Arul Joseph Gnanaprakasam: Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India
Ola A. Ashour Abdelnaby: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi Arabia
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia

Mathematics, 2022, vol. 10, issue 18, 1-15

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.

Keywords: common fixed point; TVMS; complete TVMS; Cauchy sequence; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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