Solution of Fredholm Integral Equation via Common Fixed Point Theorem on Bicomplex Valued B-Metric Space

The notion of symmetry is the main property of a metric function. The area of fixed point theory has a suitable structure for symmetry in mathematics. The goal of this paper is to find fixed point and common fixed point results in a bicomplex valued b-metric space for mixed type rational contraction...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-01, Vol.15 (2), p.297
Main Authors: Mani, Gunaseelan, Gnanaprakasam, Arul Joseph, Ege, Ozgur, Fatima, Nahid, Mlaiki, Nabil
Format: Article
Language:English
Subjects:
Algebra
bicomplex valued b-metric spaces
Cauchy sequence
complete bicomplex valued b-metric spaces
Fixed points (mathematics)
Fredholm equations
Integral equations
Metric space
Symmetry
Theorems
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Summary:The notion of symmetry is the main property of a metric function. The area of fixed point theory has a suitable structure for symmetry in mathematics. The goal of this paper is to find fixed point and common fixed point results in a bicomplex valued b-metric space for mixed type rational contractions with control functions. Some well-known literature findings were generalized in our main findings. We provide an example to strengthen and validate our main results. As an example, in the context of bicomplex-valued b-metric space, we develop fixed point and common fixed point results for the rational contraction mapping.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15020297