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

Authors :
Mani, Gunaseelan
Gnanaprakasam, Arul Joseph
Ege, Ozgur
Fatima, Nahid
Mlaiki, Nabil
Source :
Symmetry (20738994); Feb2023, Vol. 15 Issue 2, p297, 15p
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
2
Database :
Complementary Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
162164967
Full Text :
https://doi.org/10.3390/sym15020297