eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2017-06-14 5 4 132 138 10.12691/tjant-5-4-3 TJANT2017543 article Aftab Hussain aftabshh@gmail.com 1 Arshad Muhammad 2 Department of Basic Sciences, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan Pakistan Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan The aim of this paper to discuss generalized iterative process of F-contraction and establish new fixed point theorems in complete metric spaces. As an application of our results, we prove existence and uniqueness of functional equations and system of differential equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature. http://pubs.sciepub.com/tjant/5/4/3/tjant-5-4-3.pdf metric space fixed point F contraction iterative process