Strong andΔ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0)Spaces

C. E.Chidume; A. U.Bello; P.Ndambomve

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Strong andΔ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0)Spaces

机译：CAT（0）空间中有限系列多值去压缩映射的公共不动点的强和Δ收敛定理

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LetKbe a nonempty closed and convex subset of a completeCAT(0) space. LetTi:K→CBK,i=1,2,…,m, be a family of multivalued demicontractive mappings such thatF:=⋂i=1mF(Ti)≠∅. A Krasnoselskii-type iterative sequence is shown toΔ-converge to a common fixed point ofthe familyTi,i=1,2,…,m. Strong convergence theorems are also provedunder some additional conditions. Our theorems complement and extend several recent important results on approximation of fixed points of certain nonlinear mappings in CAT(0)spaces. Furthermore, our method of the proof is ofspecial interest.

机译：令K为completeCAT（0）空间的非空封闭且凸的子集。设Ti：K→CBK，i = 1,2，…，m为一族多值非收缩映射，使得F：=⋂i= 1mF（Ti）≠∅。 Krasnoselskii型迭代序列显示为Δ收敛到Ti，i = 1,2，…，m族的一个公共不动点。在某些附加条件下，也证明了强收敛定理。我们的定理补充并扩展了关于CAT（0）空间中某些非线性映射的不动点逼近的一些近期重要结果。此外，我们的证明方法特别有用。

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《Abstract and applied analysis》 |2014年第2期|共6页
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C. E.Chidume; A. U.Bello; P.Ndambomve;
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7. Strong andΔ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0)Spaces [O] . C. E. Chidume, A. U. Bello, P. Ndambomve 2014

机译：Cat（0）空间中有限家庭多价脱墓具映射的共同固定点的强大和δ收敛定理

Strong andΔ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0)Spaces

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