IJPAM: Volume 38, No. 2 (2007)

MULTIVALUED VARIATIONAL INCLUSIONS
IN BANACH SPACES

Jing Chang Li$^1$, Chahn Yong Jung$^2$, Shin Min Kang$^3$
$^{1}$Dalian Vocational Technical College
Dalian, Liaoning, 116035, P.R. CHINA
e-mail: dlvtcjwc@163.com
$^{2}$Department of Business Administration
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: bb5734@nongae.gsnu.ac.kr
$^{3}$Department of Mathematics
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr


Abstract.The subject of this paper is to introduce and to study a new class of multivalued variational inclusions in Banach spaces. Under certain conditions we establish the existence of solutions for this kind of multivalued variational inclusions with accretive type mappings and obtain a few characterizations of convergence of the Ishikawa iterative sequence with mixed errors. We also discuss the convergence, error estimate and stability of the Ishikawa iterative sequence with mixed errors to solutions of a class of variational inequalities.

Received: April 30, 2007

AMS Subject Classification: 49J40, 47J20, 47H06

Key Words and Phrases: multivalued variational inclusion, variational inequality, Ishikawa iterative sequence with mixed errors, accretive mapping, convergence, error estimate, stability, Banach space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 38
Issue: 2