Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder–Petryshyn type Original Research Article

Let EE be a real 2-uniformly smooth Banach space which is also uniformly convex (for example: LpLp or lplp, 2≤p<∞2≤p<∞) and KK a nonempty closed convex subset of EE. Let T1,T2,…,TN:K→KT1,T2,…,TN:K→K be strictly pseudocontractive mappings of KK into KK in the sense of Browder and Petryshyn with View the MathML source∩i=1NF(Ti)≠0̸, where F(Ti)={x∈K:Tix=x}F(Ti)={x∈K:Tix=x}. Let View the MathML source{αn}n=1∞ be a real sequence in [0,1] satisfying the condition View the MathML source0