Current Issue : October - December Volume : 2011 Issue Number : 4 Articles : 5 Articles
The purpose of this paper is, by using a new hybrid method, to prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for a variational inequality problem, and the set of common fixed points for a pair of quasi-??-asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results....
The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi-??-asymptotically nonexpansive mappings, and null spaces of finite family of ??-inverse strongly onotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors....
Let E be a real reflexive Banach space with a uniformly GÃ?¢teaux differentiable norm. Let K be a nonempty bounded closed convex subset of E, and every nonempty closed convex bounded subset of K has the fixed point property for non-expansive self-mappings. Let ?? : ?? ? ?? a contractive mapping and ?? : ?? ? ?? be a uniformly continuous pseudocontractive mapping with ?? ( ?? ) ? Ã?Ë?. Let { ????} ? ( 0 , 1 / 2 ) be a sequence satisfying the following conditions: (i) l i m?? ? 8????= 0\r\n; (ii) ?8 ?? = 0????= 8. Define the sequence { ????} in K by??0? ??, ???? 1= ??\r\n???? ( ????) ( 1 - 2 ????) ???? ?????? ????, for all?? = 0. Under some ppropriate assumptions, we prove that the sequence { ????} converges strongly to a fixed point \r\n?? ? ?? ( ?? ) which is the unique solution of the following variational inequality: \r\n? ?? ( ?? ) - ?? , ?? ( ?? - ?? ) ? = 0, for all ?? ? ?? ( ?? )....
A new Monte Carlo approach for evaluating the generalized eigenpair of real symmetric matrices will be proposed. Algorithm for the three smallest eigenpairs based on the partitioning inverse Monte Carlo iterative (IMCI) method will be considered....
We prove a strong convergence theorem by using a hybrid algorithm in order to find a common fixed point of Lipschitz pseudocontraction and ?-strict pseudocontraction in Hilbert spaces. Our results extend the recent ones announced by Yao et al. (2009) and many others....
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