On the split equality common fixed point problem for quasi-nonexpansive multi-valued mappings in Banach spaces

Volume 9, Issue 10, pp 5536--5543 http://dx.doi.org/10.22436/jnsa.009.10.04

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Authors

Xuejin Tian - College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, P. R. China. Lin Wang - College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, P. R. China. Zhaoli Ma - Department of General Education, The College of Arts and Sciences Yunnan Normal University, Kunming, Yunnan, 650222, P. R. China.

Abstract

The purpose of this paper is to study the split equality common fixed point problems of quasi-nonexpansive multi-valued mappings in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Under suitable conditions, some weak and strong convergence theorems for the sequences generated by the proposed algorithm are proved. The results presented in this paper are new which also improve and extend some recent results announced by some authors.

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Keywords

• Split equality problem
• quasi-nonexpansive multi-valued mapping
• weak convergence
• strong convergence.

MSC

•  47J25
•  47H09
•  65K10

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