@article{article_618222, title={Obtaining New Fixed Point Theorems Using Generalized Banach-Contraction Principle}, journal={Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi}, volume={35}, pages={34–45}, year={2020}, author={Atalan, Yunus}, keywords={Jungck-contraction principle,New iterative algorithm,Convergence,Stability}, abstract={<span style="font-size:12.6px;">In this study, a new three step iterative algorithm was introduced with the help of Jungck-contraction principle which is one of the remerkable generalizations of Banach-contraction principle. Also, the convergence and stability results were obtained for the pair of nonself mappings which satisfy a certain contractive condition by using this iterative algorithm in any Banach space. In addition, it was shown that the new iterative algorithm has a better convergence speed when compared the other Jungck-type iterative algorithms in the current literature, and to support this result, numerical examples were given. </span>}, number={3}, publisher={Erciyes Üniversitesi}