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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 3, Pages 189 - 199 (December 2007)


ITERATIVE APPROXIMATION OF COMMON FIXED POINTS FOR A FINITE FAMILY OF UNIFORMLY
L-LIPSCHITZIAN MAPPINGS IN BANACH SPACES

Feng Gu (P. R. China)

Received September 15, 2007

References:



[1] S. S. Chang, Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 129 (2001), 845-853.

[2] S. S. Chang, On Chidume’s open questions and approximation solutions of multivalued strongly accretive mapping equation in Banach spaces, J. Math. Anal. Appl. 216 (1997), 94-111.

[3] K. Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35 (1972), 171-174.

[4] C. Moore and B. V. Nnoli, Iterative solution of nonlinear equations involving set-valued uniformly accretive operators, Comput. Math. Appl. 42 (2001), 131-140.

[5] E. U. Ofoedu, Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudo-contractive mapping in a real Banach space, J. Math. Anal. Appl. 321 (2006), 722-728.

[6] J. Schu, Iterative construction of fixed point of asymptotically nonexpansive mappings, J. Math. Anal. Appl. 158 (1991), 407-413.

[7] K. K. Tan and H. K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993), 301-308.

[8] L. C. Zeng, Iterative approximation of fixed points of asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces, Chinese Ann. Math. Ser. A 26(2) (2005), 283-290 (in Chinese).

[9] L. C. Zeng, Approximation of fixed points for asymptotically nonexpansive mappings in Banach spaces, Acta Math. Sci. Ser. A Chin. Ed. 23(1) (2003), 31-37 (in Chinese).

Keywords and phrases: asymptotically pseudo-contractive mapping, normalized duality mapping, uniformly L-Lipschitzian mapping, Banach space.

 


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