ABSTRACT
Fixed point theorems are the basic mathematical tools in showing the existence of solutions in various kinds of equations and inclusions. Fixed point theory is in the heart of nonlinear analysis since it provides the necessary tools to have existence theorems in many different nonlinear problems. It employs its tools from both analysis and topology and for this reason we have the informal (and imprecise) classification to “metric fixed point theory” and “topological fixed point theory.”
