The theory of fixed point is one of the most powerful tool of modern mathematical analysis. Theorem concerning the existence and properties of fixed points are known as fixed point theorem. Fixed point theory is a beautiful mixture of analysis, topology & geometry which has many applications in various fields such as mathematics engineering, physics, economics, game theory, biology, chemistry, optimization theory and approximation theory etc. For example ,the useful potential application of research in fixed point theory is, the study of the stability of switched dynamic systems, where we study the conditions under which the iterative sequences generated by (finite or infinite) linear combination of mappings (contractive or not), converge to the fixed point.
Fixed point theory has its own importance and developed tremendously for the last one and half century.
Moreover, since the location of the fixed point can be obtained by means of an iteration process, it can be implemented on a computer to find the fixed point of contractive mappings easily.
The Banach's fixed point theory, widely known as the contraction principle, is an important tool in the theory of metric spaces.
The concept of Metric space was introduced by the French mathematician Maurice Frechet in 1906 and since then several generalizations of it have been proposed, such as b-metric spaces, fuzzy metric spaces, probabilistic metric space.
The present special issue of mathematics focuses on studying fixed point theorem in several metric spaces and its applications in various field.