A new system of variational inclusions with (H, η)-monotone operators in hilbert spaces

Authors:
Ya-Ping Fang;Nan-Jing Huang;H. B. Thompson
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 1
Cited 23

Perturbed proximal point algorithms for general quasi-variational-like inclusions

Journal of Computational and Applied Mathematics - Fixed point theory with applications in nonlinear analysis

Iterative methods for solving variational inclusions in Banach spaces

Journal of Computational and Applied Mathematics
The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (H,η)-monotone operators

Journal of Global Optimization
Iterative algorithms for a new system of nonlinear variational inclusions with (A,η)-accretive mappings in Banach spaces

Computers & Mathematics with Applications
The existence and uniqueness of solution and the convergence of a multi-step iterative algorithm for a system of variational inclusions with (A, η, m)-accretive operators

Journal of Global Optimization
Iterative methods for solving a system of variational inclusions involving H-η-monotone operators in Banach spaces

Computers & Mathematics with Applications
A system of variational inclusions with P-η-accretive operators

Journal of Computational and Applied Mathematics
The over-relaxed proximal point algorithm based on H-maximal monotonicity design and applications

Computers & Mathematics with Applications
Stability of iterative processes with errors for a system of nonlinear (A,η)-accretive variational inclusions in Banach spaces

Computers & Mathematics with Applications
Generalized Eckstein-Bertsekas proximal point algorithm based on A-maximal monotonicity design

Computers & Mathematics with Applications
The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (A,η)-accretive operators in q-uniformly smooth banach spaces

Journal of Computational and Applied Mathematics
Convergence and stability of iterative algorithm for a new system of (A,η)-accretive mapping inclusions in Banach spaces

Computers & Mathematics with Applications
A novel proof of the existence of solutions for a new system of generalized mixed quasi-variational-like inclusions involving (A, η, m)-accretive operators

Journal of Global Optimization
A new relaxed proximal point procedure and applications to nonlinear variational inclusions

Computers & Mathematics with Applications
A new class of variational inclusions with B-monotone operators in Banach spaces

Journal of Computational and Applied Mathematics
A new system of generalized quasi-variational-like inclusion in Hilbert spaces

Computers & Mathematics with Applications
(H(·,·),η)-accretive operators with an application for solving set-valued variational inclusions in Banach spaces

Computers & Mathematics with Applications
On a new system of generalized mixed quasi-variational-like inclusions involving (A,η,m)-accretive operators with applications

Journal of Computational and Applied Mathematics
New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions

Computers & Mathematics with Applications
An iterative method for quasi-variational-like inclusions with fuzzy mappings

RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Generalized Eckstein-Bertsekas proximal point algorithm involving (H,η)-monotonicity framework

Mathematical and Computer Modelling: An International Journal
Perturbed Mann iterative method with errors for a new system of generalized nonlinear variational-like inclusions

Mathematical and Computer Modelling: An International Journal
Generalized over-relaxed proximal algorithm based on A-maximal monotonicity framework and applications to inclusion problems

Mathematical and Computer Modelling: An International Journal
An iterative method for a class of generalized global dynamical system involving fuzzy mappings in hilbert spaces

ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part IV

Quantified Score

Hi-index	0.10

Visualization

Abstract

In this paper, we introduce and study a new system of variational inclusions involving (H, @h)-monotone operators in Hilbert space. Using the resolvent operator associated with (H, @h)-monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm.