Common fixed points for hybrid pair of generalized non-expensive mappings by a three-step iterative scheme
عنوان مقاله: Common fixed points for hybrid pair of generalized non-expensive mappings by a three-step iterative scheme
شناسه ملی مقاله: JR_IJNAA-15-3_008
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_IJNAA-15-3_008
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Fayyaz Rouzkard - Department of Mathematics, Farhangian University, Tehran, Iran
Mohammad Imdad - Department of Mathematics, Aligarh Muslim University, Aligarh, ۲۰۲۰۰۲, India
خلاصه مقاله:
Fayyaz Rouzkard - Department of Mathematics, Farhangian University, Tehran, Iran
Mohammad Imdad - Department of Mathematics, Aligarh Muslim University, Aligarh, ۲۰۲۰۰۲, India
In this paper, we introduce a three-step iterative scheme, called the MF-iteration process to approximate a common fixed point for a hybrid pair \{\tau, T\} of single-valued and multi-valued maps satisfying a generalized contractive condition defined on uniformly convex Banach spaces. We establish the strong convergence theorem for the proposed process under some basic boundary conditions. We give a numerical example to prove our results' convergence rate. Further, we compare the convergence speed of Sokhuma and Kaewkhao [۲۹] and MF-iterations. we show numerically that the considered iterative scheme converges faster than Sokhuma and Kaewkhao [۲۹] for single-valued and multi-valued non-expansive mappings. Our newly proven results generalize several relevant results in the literature.
کلمات کلیدی: uniformly convex Banach spaces, Suzuki's Generalized Non-Expansive, Three-step iterative scheme, Common fixed point
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1932292/