Two new types of fixed point theorems for F-contraction.

The purpose of the present paper is to continue the study of fixed point theory in complete metric spaces. Wardowski [Fixed Point Theory Appl. 2012: 94] introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalize the Banach contraction principle. The aim of this paper is to extend the concept of F-contraction into generalized F-contraction. An example and application are given to illustrate the usability of the main result. [ABSTRACT FROM AUTHOR]