Fixed point results for generalized (α−η)−Θ contractions with applications

@article{Hussain2017FixedPR,
  title={Fixed point results for generalized ($\alpha$−$\eta$)−$\Theta$ contractions with applications},
  author={Nawab Hussain and Abdullah Eqal Al-Mazrooei and Jamshaid Ahmad},
  journal={The Journal of Nonlinear Sciences and Applications},
  year={2017},
  volume={10},
  pages={4197-4208}
}
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. c… Expand
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