Document Abstract
The technique of fixed point is assumed a core and powerful tool in Nonlinear Functional
Analysis because it plays an important role in pure and applied Mathematics. Fixed point
theorem is the developments of new creative methods to use the fundamental tools of the
functional analysis. Functional analysis embodies the abstract approach in analysis. It
gives many fundamental notions relevant for the description, Analysis, Numerical
Approximation, Medicinal Ecology, Agro industries and Computer Simulation process. It
also discovers solutions to problems occurring in pure, applied and social sciences. In this
way, Mathews introduced the notion of Partial Metric space as a part of the study of
mentioned semantics of data flow networks related to Computer Science. There are many
researchers extended the concept of Partial metric space such as Partial b-metric space,
Complex Valued partial metric space, Fuzzy type Partial metric space and proved the
existence of fixed point theorem via contraction mappings.
The aim of this research paper, to study of fixed point theorems for certain contractive
mappings in Complex valued partial b-metric spaces. The present research work will
attempt to extends, generalize and improve results propagated by mathematicians in this
field.