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  JP Journal of Fixed Point Theory and Applications  
 ISSN: 0973-4228
 
 
 

     JP Journal of Fixed Point Theory and Applications
    Volume 2, Issue 2, Pages 149 - 157 (August 2007)


ITERATIVE PROCESS TO STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN 2-UNIFORMLY SMOOTH
BANACH SPACES

Bao-Hua Guo (P. R. China) and Sheng-Hua Wang (P. R. China)

Received September 21, 2007

References:



[1] C. Byrne, A unified treatment of some iterative algorithms in signal processing and image reconstruction, Inverse Problems 20 (2004), 103-120.

[2] W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510.

[3] G. Marino and H. K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007), 336-346.

[4] C. Matinez-Yanes and H. K. Xu, Strong convergence of the CQ method for fixed point processes, Nonlinear Anal. 64 (2006), 2400-2411.

[5] K. W. Nakajo and Wataru Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003), 372-379.

[6] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 595-597.

[7] S. Reich, Weak convergence theorems for nonexpansive mappings in Banach spaces, J. Math. Anal. Appl. 67 (1979), 274-276.

[8] H. K. Xu, Inequalities in Banach spaces with applications, Nonlinear Anal. 16(2) (1991), 1127-1138.

Keywords and phrases: weak convergence, strict pseudo-contractive mapping, fixed point, uniformly smooth Banach spaces.

 


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