Banach Contraction Principle was the only primary tool used to check the presence and distinctiveness of fixed points. Complex valued matric space is valuable in numerous branches of Mathematics, comprising algebraic geometry, number theory, applied Mathematics as well as in physics comprising hydrodynamics, mechanical engineering, thermodynamics etc. Later on formation of complex valued matric space, Rouzkard et al. recognized some common fixed point theorems satisfying definite rational expressions in these spaces. Recently, Sitthikul et al. recognized some Fixed Point results by simplifying the contractive conditions in the setting of complex valued matric space. Numerous researchers have added with dissimilar ideas in this space it was considered to be the origin of the theory of metric fixed point, but it was not because it suffered a single disadvantage. This requires continual behavior of mapping at each and every point in the defined domain.
Author(s) Details:
Arti Saxena,
School of Engineering and Technology, Manav Rachna International Institute of Research and Studies Faridabad, Haryana, India.
Poonam Rani,
Department of Humanities and Applied Sciences, Echelon Institute of Technology, Faridabad, Haryana, India.