Solution of Fredholm Integral Equation via Common Fixed Point Theorem on Bicomplex Valued B-Metric Space
Articles > Article · 2023
Authors: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Özgür EGE, Nahid Fatima, Nabil Mlaiki
Symmetry, Journal Indexed in SCI Expanded, International, WoS, 2023, vol 15, pp 297-297
DOI: 10.3390/sym15020297
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.