Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces

Amnah Essa Shammaky and Jamshaid Ahmad ()
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Amnah Essa Shammaky: Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia
Jamshaid Ahmad: Department of Mathematics, College of Science, University of Jeddah, Jeddah 21959, Saudi Arabia

Mathematics, 2023, vol. 11, issue 20, 1-12

Abstract: The aim of the present research article is to solve the system of linear equations using common fixed point theorems in the context of bicomplex valued metric spaces. To obtain our main objective, we introduce generalized contractive conditions in bicomplex valued metric spaces and establish common fixed point theorems for self mappings. We also give a significant example to demonstrate the legitimacy of the given theorems.

Keywords: system of linear equations; common fixed point; bicomplex valued metric space; closed ball; self mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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