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  Far East Journal of Applied Mathematics  
 ISSN: 0972-0960
 
 
 

     Far East Journal of Applied Mathematics
    Volume 32, Issue 1, Pages 33 - 40 (July 2008)


ITERATIVE METHOD FOR NONLINEAR PSEUDO-MONOTONE TYPE OPERATORS IN HILBERT SPACES

A. M. Saddeek (Egypt)

Received December 15, 2007

References:



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[2] H. Brezis, L. Nirenberg and G. Stampacchia, A remark on Ky Fan’s minimax principle, Boll. Un. Mat. Ital. 6 (1972), 293-300.

[3] W. G. Dotson, Jr., On the Mann iterative process, Trans. Amer. Math. Soc. 149 (1970), 65-73.

[4] J. L. Lions, Quelques methodes de resolution des problemes aux limites non lineaires, Dunod and Gauthier-Villars, Paris, 1969.

[5] A. D. Lyashko and M. M. Karchevskii, On the solution of some nonlinear problems of seepage theory, Izv. Vyssh. Uchebn. Zaved. Mat. 6 (1975), 73-81 [Russian].

[6] S. Maruster, The solution by iteration of nonlinear equations in Hilbert spaces, Proc. Amer. Math. Soc. 63(1) (1977), 69-73.

[7] D. Pascali and S. Sburlan, Nonlinear Mappings of Monotone Type, Sijthoff and Noordhoff International, Bucuresti, Romania, 1976.

[8] H. Schaefer, Uber die methode sukzessiver approximationen, Jber Deutch Math. Verein. Abt. 1 59 (1957), 131-140.

[9] E. Zeidler, Nonlinear functional analysis and its applications, Vol. II(B), Nonlinear Monotone Operators, Springer-Verlag, Berlin, 1990.

Keywords and phrases: coincidence point, positive definite operators, pseudo-monotone operators, coercive operators, self adjoint operators, soft shell problems and seepage problems.

 


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