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9 results on '"Chan, Chi Kin"'

8. A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications

Author

Chang, Shih-sen, Lee, H.W. Joseph, and Chan, Chi Kin

Subjects
*VARIATIONAL inequalities (Mathematics), *FIXED point theory, *BANACH spaces, *STOCHASTIC convergence, *MAXIMAL functions, *MATHEMATICAL mappings
Abstract

Abstract: The purpose of this paper is to prove by using a new hybrid method a strong convergence theorem for finding a common element of the set of solutions for a generalized equilibrium problem, the set of solutions for a variational inequality problem and the set of common fixed points for a pair of relatively nonexpansive mappings in a Banach space. As applications, we utilize our results to obtain some new results for finding a solution of an equilibrium problem, a fixed point problem and a common zero-point problem for maximal monotone mappings in Banach spaces. [Copyright &y& Elsevier]

Published
2010
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9. On Reich’s strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces

Author

Chang, S.S., Joseph Lee, H.W., and Chan, Chi Kin

Subjects
*STOCHASTIC convergence, *NONEXPANSIVE mappings, *BANACH spaces, *ASYMPTOTIC expansions
Abstract

Abstract: The purpose of this paper is to study Reich’s strongly convergence theorems for asymptotically nonexpansive mappings in Banach spaces. Under some general conditions an affirmative partial answer to Reich’s open question is given and some recent results are improved and generalized. [Copyright &y& Elsevier]

Published
2007
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