A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory

Altun, IshakAl Arifi, NassirJleli, MohamedLashin, ArefSamet, Bessem2020-06-252020-06-252016Altun, I., Al Arifi, N., Jleli, M., Lashin, A., & Samet, B. (2016). A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory. Journal of Function Spaces, 2016, [6759320].2314-88962314-8888https://doi.org/10.1155/2016/6759320https://hdl.handle.net/20.500.12587/6682Altun, Ishak/0000-0002-7967-0554; Jleli, Mohamed/0000-0002-6095-5875; Samet, Bessem/0000-0002-6769-3417; Lashin, Aref/0000-0002-1834-3234; al-arifi, nassir/0000-0001-7802-5070We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S : X > X where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution. Our approach is different to the usual used methods in the literature.eninfo:eu-repo/semantics/openAccessA New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point TheoryArticle10.1155/2016/67593202-s2.0-84994476484Q1WOS:000390800400001Q4