双曲空间中俩有限簇全渐近非扩张映象的混合型迭代

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

在Hyperbolic空间中,讨论关于一有限簇全渐近非扩张映象与另一有限簇全渐近非扩张非自映象公共不动点的问题,引入了一个混合型迭代序列{x1∈Kxn+1=W(Sn ixn,Ti(PT)n-1 iyn,αn),i=1,2,…,ky n=W(Sn jxn,Tj(PTj)n-1 xn,βn),j=1,2,…,k,i≠j,∨n≥1,并在适当的条件下证明了Δ-收敛定理及混合型迭代序列{xn}Δ-收敛于F的一公共不动点。

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∈K xn＋1=W（Si^nxn,Ti（PTi）^n-1yn,αn）,i=1,2,…,k yn=W（Sj^nxn,Tj（PTj）^n-1xn,βn）,j=1,2,…,k,i≠j,∨n≥1.The proof of A-convergence theorem is divide into four steps,proved the mixed iterative sequence {xn}Δ-converges to a common fixed point of F.