Common fixed point theorems for a family multivalued mapping in Banach spaces
Let A be a nonempty closed convex subset of a real reflexive Banach space X that has weakly sequentially continuous duality mapping JΦ for some gauge Φ. Let Ti : K→ K be a multivalued nonexpansive mappings with Fi:= C∞i=oF(Ti) ≠0 which is a sunny nonexpansive retract of K with Q a nonexpansive retraction. For a contraction f on K and an, βn 6 (0,1), we consider the algorithm be called multivalued version of the modified Mann iteration χn+1 = βnf(xn) + anxn + (1-αn-βn)yn, where yn ∈ Tn xn such that ‖yn+1 -yn‖ ≤ H(Tn+1xn+1,TnΧn).
Multivalued nonexpansive mapping Weakly sequentially continuousduality mapping Common fixed point
Zhanfei Zuo
Department of Mathematics and Statistics Chongqing Three Gorges University Wanzhou 404000, P,R, China
国际会议
重庆
英文
976-978
2011-08-20（万方平台首次上网日期，不代表论文的发表时间）