Fixed point results for generalized (α-η)-Θcontractions with applications

The aim of this paper is to define generalized (α-η)-Θ contraction and to extend the results of Jleli and Samet [M. Jleli, B. Samet, J. Inequal. Appl., 2014 (2014), 8 pages] by applying a simple condition on the function Θ We also deduce certain fixed and periodic point results for orbitally continuous generalized Θ-contractions and certain fixed point results for integral inequalities are derived. Finally, we provide an example to show the significance of the investigation of this paper.