Regularization of Nonlinear Ill-posed Equations with Accretive Operators

@inproceedings{Alber2004RegularizationON,
  title={Regularization of Nonlinear Ill-posed Equations with Accretive Operators},
  author={Ya. I. Alber and Charles E. Chidume and H. Zegeye},
  year={2004}
}
We study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important examples of applications are evolution equations and co-variational inequalities in Banach spaces. 

References

Publications referenced by this paper.
Showing 1-10 of 21 references

Algorithm for generalized multi - valued co - variational inequalities in Banach spaces

J.-C. Yao
Funct . Di ff er . Equ . • 2003

Iterative methods for solving fixed - point problems with nonself - mappings in Banach spaces

S. Reich Alber, J.-C. Yao
Nonlinear problems with accretive and d - accretive mappings , preprint • 2003

Algorithm for generalized multi-valued co-variational inequalities in Banach spaces, Funct

Ya. I. Alber, J.-C. Yao
Differ. Equ • 2000
View 1 Excerpt

A generalized steepest descent approximation for the zeros of m-accretive operators

C. E. Chidume, H. Zegeye, B. Ntatin
J. Math. Anal. Appl. 236 • 1999

Iteration processes for nonlinear Lipschitzian strongly accretive mappings in Lp-spaces

L. Deng
J. Math. Anal. Appl. 188 • 1994

Estimates for the modulus of smoothness and convexity of a Banach space

I. Şerb
Mathematica (Cluj) 34(57) • 1992

Parallelogram inequalities in Banach spaces and some properties of a duality mapping

S. Reich, I. Ryazantseva
Ukrainian Math . J . • 1988

Similar Papers

Loading similar papers…