Two new types of fixed point theorems for F-contraction
2016 ◽
Vol 7
(4)
◽
pp. 251
◽
Keyword(s):
The purpose of the present paper is to continue the study of fixed pointtheory in complete metric spaces. Wardowski [Fixed Point Theory Appl. 2012: 94]introduced a new type of contraction called \(F\)-contraction and proved afixed point result in complete metric spaces, which in turn generalize theBanach contraction principle. The aim of this paper is to extend the conceptof $F$-contraction into generalized \(F\)-contraction. An example andapplication are given to illustrate the usability of the main result.