α‐Well‐Posedness for Quasivariational Inequality Problems | Zendy

Jian Wen Peng | Zendy; Jing Tang | Zendy

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α‐Well‐Posedness for Quasivariational Inequality Problems

Author(s) -

Jian Wen Peng,

Jing Tang

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/157532

Subject(s) - mathematics , inequality , calculus (dental) , sense (electronics) , mathematical analysis , medicine , dentistry , electrical engineering , engineering

We introduce and study the concepts of α-well-posedness and L-α-well-posedness for quasivariational inequality problems having a unique solution and the concepts of α-well-posedness in the generalized sense and L-α-well-posedness in the generalized sensefor quasivariational inequality problems having more than one solution. We present somenecessary and/or sufficient conditions for the various kinds of well-posedness to occur. Ourresults generalize and strengthen previously known results for quasivariational inequalityproblems

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