On Suzuki-Wardowski type fixed point theorems

Recently, Piri and Kumam [Fixed Point Theory and Applications 2014, 2014:210] improved concept of F- contraction and proved some Wardowski and Suzuki type fixed point results in metric spaces. The aim of this article is to define generalized α-GF-contraction and establish Wardowski and Suzuki type fixed point results in metric and ordered metric spaces and derive main results of Piri et al. as corollaries. We also deduce certain fixed and periodic point results for orbitally continuous generalized F-contractions and certain fixed point results for integral inequalities are derived. Moreover, we discuss some illustrative examples to highlight the realized improvements.