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Strong convergence results on the common fixed points of asymptotically pseudocontractive semigroups(PDF)


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Strong convergence results on the common fixed points of asymptotically pseudocontractive semigroups
FAN Qinwei1HUI Zhen2HE Huimin3
1.School of Science, Xi’an Polytechnic University, Xi’an 710048, China;
2.Administrative Office of Network and Informatization, Xi’an Polytechnic University, Xi’an 710048, China;
3.School of Mathematics and Statistics, Xidian University, Xi’an 710071, China
 fixed points pseudocontractive semigroups strong convergence Banach space
In order to study the strong convergence of asymptotically pseudocontractive semigroups in a real Banach space,a viscosity iteration algorithm for approximating the common fixed point of asymptotically pseudocontractive semigroups is proposed, and it is proved that the common fixed point is also unique solution to a variational inequality. The results mainly extend the results of Ref.[8] from the Halpern iteration algorithm to viscosity iteration algorithm, and also extend the results of Ref.[9] from nonexpansive semigroups to asymptotically pseudocontractive semigroups.


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Last Update: 2017-07-22