Mixed Type for Two Finite Family of Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

Lei Xianca · Chongqing Shifan Daxue xuebao. Ziran kexue ban · 2015

The problem on the common fixed points of a finite family of total asymptotically nonexpansive mappings and another total asymptotically nonexpansive nonself mappings is discussed in Hyperbolic spaces:propose the following iterative scheme:{x1∈Kxn+1=W(Sn ixn,Ti(PTi)n-1yn,αn),i=1,2,…,k∨y n=W(Sn jxn,Tj(PTj)n-1xn,βn),j=1,2,…,k,i≠j,n≥1.The proof ofΔ-convergence theorem is divide into four steps,proved the mixed iterative sequence{xn}Δ-converges to a common fixed point of F.

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