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New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions
- Source :
- Computers & Mathematics with Applications. 60:2953-2970
- Publication Year :
- 2010
- Publisher :
- Elsevier BV, 2010.
-
Abstract
- This paper introduces a new system of extended generalized nonlinear mixed quasi-variational inclusions involving A-maximal m-relaxed η-accretive (so called (A,η)-accretive (Lan et al. (2006) [37])) mappings in q-uniformly smooth Banach spaces. By using the resolvent operator technique for A-maximal m-relaxed η-accretive mappings due to Lan et al., we establish the existence and uniqueness of solution for this system of extended generalized nonlinear mixed quasi-variational inclusions and construct a new perturbed N-step iterative algorithm with mixed errors for solving the mentioned system. We also prove the convergence of the sequences generated by our algorithms in q-uniformly smooth Banach spaces. The results presented in this paper extend and improve some known results in the literature.
- Subjects :
- Iterative method
Banach space
Variational convergence
Construct (python library)
Perturbed N-step iterative algorithm with mixed errors
Computational Mathematics
Nonlinear system
q-uniformly smooth Banach spaces
Computational Theory and Mathematics
Modelling and Simulation
Modeling and Simulation
Convergence (routing)
Resolvent operator
Extended generalized nonlinear mixed quasi-variational inclusions
Uniqueness
Algorithm
A-maximal m-relaxed η-accretive
Resolvent operator technique
Mathematics
Subjects
Details
- ISSN :
- 08981221
- Volume :
- 60
- Database :
- OpenAIRE
- Journal :
- Computers & Mathematics with Applications
- Accession number :
- edsair.doi.dedup.....b11a27f36a5bede1b4490b77a15c6314