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Auxiliary Principle and Iterative Algorithms for Generalized Mixed Nonlinear Variational-like Inequalities
| Content Provider | Semantic Scholar |
|---|---|
| Author | Liu, Zeqing |
| Copyright Year | 2015 |
| Abstract | The aim of this paper is to study the solvability of a class of generalized mixed nonlinear variationallike inequalities in Hilbert spaces. Using the auxiliary principle technique, the Banach fixed-point theorem and an inequality due to Chang and Xiang, we construct two iterative algorithms for finding approximate solutions of the generalized mixed nonlinear variational-like inequality. Under some conditions we prove the existence and uniqueness of solution for the generalized mixed nonlinear variational-like inequality and establish the strong convergence of approximate solutions to the exact solution of the generalized mixed nonlinear variational-like inequality. Our results extend, improve and unify some known results in the literature. c ©2016 All rights reserved. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.emis.de/journals/TJNSA/includes/files/articles/Vol9_Iss5_2959--2970_Auxiliary_principle_and_iterative_a.pdf |
| Alternate Webpage(s) | http://emis.maths.tcd.ie/EMIS/journals/TJNSA/includes/files/articles/Vol9_Iss5_2959--2970_Auxiliary_principle_and_iterative_a.pdf |
| Alternate Webpage(s) | http://www.isr-publications.com/jnsa/2135/download-auxiliary-principle-and-iterative-algorithms-for-generalized-mixed-nonlinear-variational-like-inequalities |
| Alternate Webpage(s) | http://www.emis.de/journals/TJNSA/includes/files/articles/user_articles/20151127021227_8991_Auxiliary_Principle_And_Iterative_A.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/TJNSA/includes/files/articles/Vol9_Iss5_2959--2970_Auxiliary_principle_and_iterative_a.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation algorithm Calculus of variations Convergence (action) Fixed-Point Number Fixed-point theorem Hilbert space Iterative method Nonlinear system Social inequality Solutions Variational principle |
| Content Type | Text |
| Resource Type | Article |