Studies in Some Generalized Metric Spaces : Fixed point theory

Mathematics is most often associated with the task of solving equations. Indeed, many problems in biology, economics, physics, and engineering involve equations and mathematics is the one to provide methods for solving them. But any equation of the form f(x) = 0 can be transformed into a new problem by a simple transformation: F(x) = f(x)+x = x. Points that remains invariant under the action of a function are called fixed points. When interested in the existence of solutions to generalized real life problems the question can be translated into asking about whether the problem has fixed points.