IJPAM: Volume 113, No. 2 (2017)

Title

ON SOLVABILITY OF COMPLETELY GENERALIZED
NONLINEAR QUASI-VARIATIONAL INCLUSIONS

Authors

Qinhua Wu$^1$, Hongyan Guan$^{2}$, Shin Min Kang$^3$
$^1$Department of Basic Science Subjects
Huaihai Institute of Technology
Lianyungang, Jiangsu, 222005, P.R. CHINA
$^{2}$Department of Mathematics
Shenyang Normal University
Shenyang, Liaoning, 110000, P.R. CHINA
$^{3}$Department of Mathematics and RINS
Gyeongsang National University
Jinju, 52828, KOREA

Abstract

The purpose of this paper is to introduce and study a class of completely generalized nonlinear quasi-variational inclusions. A perturbed iterative algorithm for finding the approximate solutions of the completely generalized nonlinear quasi-variational inclusion is suggested. The existence and uniqueness of solution of the completely generalized nonlinear quasi-variational inclusion is proved and the convergence of iterative sequence generated by the perturbed iterative algorithm is established.

History

Received: December 27, 2016
Revised: January 24, 2017
Published: March 19, 2017

AMS Classification, Key Words

AMS Subject Classification: 47J20, 49J40
Key Words and Phrases: Completely generalized nonlinear quasi-variational inclusion, perturbed iterative algorithm, convergence, resolvent operator

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Bibliography

1
S. Adly, Perturbed algorithm and sensitivityanalysis for a general class of varitional inclusions, J.Math. Anal. Appl., 201 (1996), 609-630, doi: https://doi.org/10.1006/jmaa.1996.0277.

2
H. Dong, B.S. Lee, N.J. Huang,Sensitivity analysis for generalized parametric implicitquasivariational inequalities, Nonlinear Anal. Forum, 6 (2001), 313-320.

How to Cite?

DOI: 10.12732/ijpam.v113i2.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 2
Pages: 335 - 344


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