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BRUCK FORMULA FOR A PERTURBED LIPSCHITZIAN ITERATION OF LIPSCHITZ PSEUDOCONTRACTIVE MAPS
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作者 Krishna Kumar B. K. Sharma ZHOU Zhe-wei 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第11期1427-1434,共8页
The solution to evolution equations has developed an independent theory within nonlinear analysis dealing with the existence and approximation of such solution ( fixed point) of pseudocontractive operators and its v... The solution to evolution equations has developed an independent theory within nonlinear analysis dealing with the existence and approximation of such solution ( fixed point) of pseudocontractive operators and its variants. The object is to introduce a perturbed iteration method for proving the convergence of sequence of Lipschitzian pseudocontractive mapping using approximate fixed point technique. This iteration can be ued for nonlinear operators which are more general than Lipschitzian pseudocontractive operator and Bruck iteration fails for proving their convergence. Our results generalize the results of Chidume and Zegeye. 展开更多
关键词 pseudocontractive map perturbed lipschitzian iteration fixed point uniformaly Gateaux differential norm
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