Generalized nonlinear implicit quasivariational inclusions | Zendy

Ya-Ping Fang | Zendy; Nanjing Huang | Zendy; Jung Im Kang | Zendy; Yeol Je Cho | Zendy

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Generalized nonlinear implicit quasivariational inclusions

Author(s) -

Ya-Ping Fang,

Nanjing Huang,

Jung Im Kang,

Yeol Je Cho

Publication year - 2005

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/jia.2005.261

Subject(s) - mathematics , nonlinear system , class (philosophy) , variational inequality , construct (python library) , iterative method , calculus (dental) , mathematical optimization , computer science , artificial intelligence , medicine , physics , dentistry , quantum mechanics , programming language

We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implicit quasivariational inclusions and construct some new stable perturbed iterative algorithms with errors. We also give an application to a class of generalized nonlinear implicit variational inequalities.

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