[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2002.39.1.043

ITERATIVE APPROXIMATION OF FIXED POINTS FOR STRONGLY PSEUDO-CONTRACTIVE MAPPINGS

Sharma, Sushil (Department of Mathematics, Madhav Science College)
Deshpande, Bhavana (Department of Mathematics, Govt. Arts and Science, P. G. College)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 43-51 More about this Journal

Abstract

The aim of this paper is to prove a convergence theorem of a generalized Ishikawa iteration sequence for two multi-valued strongly pseudo-contractive mappings by using an approximation method in real uniformly smooth Banach spaces. We generalize and extend the results of Chang and Chang, Cho, Lee, Jung, and Kang.

Keywords

Strongly accretive mapping; strongly pseudo-contractive mapping; Ishikawa iteration sequence; Mann iteration sequence; duality mapping;

Citations & Related Records

Reference

1	On Chidume's open questions / [ L. Deng ] / J. Math. Anal. Appl. DOI ScienceOn
2	Positivity of duality mappings / [ E. Asplund ] / Bull. Amer. Math. Soc. DOI
3	Comments on two fixed points iteration methods / [ B. E. Rhoades ] / J. Math. Anal. Appl. DOI
4	Iterative solution to nonlinear equations and strongly accretive operators in Banach spaces / [ K. K. Tan;H. K. Xu ] / J. Math. Anal. Appl. DOI ScienceOn
5	Nonlinear semigroups and evolution equations / [ T. Kato ] / J. Math. Soc. Japan
6	Approxination of fixed points of strongly pseudo-contractive mappings / [] / Proc. Amer. Math. Soc. DOI ScienceOn
7	An iterative process for nonlinear Lipschitzian strongly accretive mappings in <TEX>$L_p$</TEX> spaces / [ C. E. Chidume ] / J. Math. Anal. Appl. DOI
8	Fixed points by a new iteration method / [ S. Ishikawa ] / Proc. Amer. Math. Soc.
9	Nonlinear mappings of nonexpansive and accretive type in Banach spaces / [ F. E. Browder ] / Bull. Amer. Math. Soc. DOI
10	Mean valve methods in iteration / [ W. R. Mann ] / Proc. Amer. Math. Soc. DOI ScienceOn
11	Iterative solutions of nonlinear equations with strongly accretive operators / [] / J. Math. Anal. Appl. DOI ScienceOn
12	A note on the Ishikawa iteration scheme / [ H. K. Xu ] / J. Math. Anal. Appl. DOI
13	Iterative approximation of Lipschitz strictly pseudo contractive mappings convex and uniformly smooth Banach spaces / [ L. Deng;X. P. Ding ] / Nonlinear Anal. TMA DOI ScienceOn
14	Approximation of fixed points of strongly pseudo-contractive maps without Lipschitz assumption / [ H. Y. Zhou;Y. T. Jia ] / Proc. Amer. Math. Soc. DOI ScienceOn
15	Characteristic inequalities in uniformly convex and uniformly smooth Banach spaces / [ Z. B. Xu;G. F. Roach ] / J. Math. Anal. Appl. DOI
16	/ [ H. Y. Zhou ] / A new inequality in Banach space with applications
17	On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping in Banach spaces / [ S. S. Chang ] / J. Math. Anal. Appl. DOI ScienceOn
18	Pseudo-contractive mappings and Leray-schauder boundary condition / [ C. Morales ] / Comment. Math. Univ. Carolinea
19	An iterative process for nonlinear Lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces / [] / Acta Appl. Math. DOI
20	Fixed point iteration for local strictly pseudo-contractive mapping / [ X. L. Weng ] / Proc. Amer. Math. Soc. DOI ScienceOn
21	Fixed point and iteration of a nonexpansive mapping in a Banach spaces / [] / Proc. Amer. Math. Soc. DOI ScienceOn
22	An iterative procedure for construction zeros of accretive sets in Banach spaces / [ S. Reich ] / Nonlinear Anal. TMA DOI ScienceOn
23	Iterative approximations of fixed points and solutions for accretive and strongly pseudo contractive mappings in Banach spaces / [ S. S. Chang;Y. J. Cho;B. S. Lee;J. S. Jung;S. M. Kang ] / J. Math. Anal. Appl. DOI ScienceOn