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Generalized implicit quasivariational inequalities with relaxed Lipschitz and relaxed monotone mappings

โœ Scribed by Min-Ru Bai; Ya-Yong Tang; Ya-Ping Liu

Book ID
104350238
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
381 KB
Volume
12
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, we introduce and study a new class of generalized nonlinear implicit quasivariational inequalities for set-valued mappings and construct some new iterative algorithms. We prove the existence of solutions for this generalized nonlinear implicit quasivariational inequalities involving relaxed Lipschitz and relaxed monotone mappings and the convergence of iterative sequences generated by the algorithms. ~

๐Ÿ“œ SIMILAR VOLUMES

Partial relaxed monotonicity and general
Partial relaxed monotonicity and general auxiliary problem principle with applications
โœ R.U. Verma ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 401 KB

First, a general framework for the auxiliary problem principle is introduced and then it is applied to the approximation-solvability of the following class of nonlinear variational inequality problems (NVIP) involving partially relaxed monotone mappings. Find an element r\* E K such that (T(zc'), z