Solution of Fredholm Integral Equation via Common Fixed Point Theorem on Bicomplex Valued B-Metric Space
Gunaseelan Mani, Arul Joseph Gnanaprakasam, Özgür Ege, Nahid Fatima, Nabil Mlaiki
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.
Topics & Concepts
Fixed pointMathematicsMetric spaceFixed-point theoremContraction mappingContext (archaeology)Metric (unit)Point (geometry)Pure mathematicsMathematical analysisPaleontologyGeometryEconomicsOperations managementBiologyFixed Point Theorems AnalysisAdvanced Differential Geometry Research