A novel three-step implicit iteration process for threeΦ-hemicontractive mapping in the intermediate sense  

作　　者：Godwin Amechi Okeke Austine Efut Ofem 

机构地区：[1]Functional Analysis and Optimization Research Group Laboratory(FANORG),Department of Math-ematics,School of Physical Sciences,Federal University of Technology Owerri,P.M.B.1526 Owerri,Imo State,Nigeria [2]School of Mathematics,Statistics and Computer Science,University of KwaZulu-Natal,Durban,South Africa [3]Department of Mathematics,University of Uyo,Uyo,Nigeria

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2023年第2期248-263,共16页高校应用数学学报（英文版）（B辑）

摘　　要：In this paper,we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalizedΦ-hemicontractive mappings in the intermediate sense.We prove that our proposed iteration process converges to the common fixed point of three finite family of asymptotically generalizedΦ-hemicontractive mappings in the intermediate sense.Our results extends,improves and complements several known results in literature.

关 键 词：xed point asymptotically genralizedΦ-hemicontractive mapping in the intermediate sense uniformly continuos implicit iteration process strong convergence Banach spaces 

分 类 号：O177.91[理学—数学]