Some Fixed Points Results on Parametric Spaces
Neetu Sharma *
Govt Motilal Vigyan Mahavidyalaya, Bhopal, Madhya Pradesh, India.
*Author to whom correspondence should be addressed.
Abstract
This paper explores fixed point theorems within the framework of Parametric metric spaces and parametric b-metric spaces. By introducing parameters into these spaces, we investigate the conditions under which fixed points and common fixed points exist. The study encompasses various fixed point theorems tailored to parametric settings between parameters and the properties of fixed points. Key focus areas include the characterization of fixed points, the influence of parameters on their existence and uniqueness, and the extension of fixed point theorems to Parametric contexts.
Keywords: Fixed point, parametric metric space, parametric b-metric space, common fixed point, complete parametric space