000			02808cam a2200301Ii 4500
001			9780429065019
008			180331s2014 flua ob 001 0 eng d
020			_a9780429065019 _q(e-book : PDF)
020			_z9781439868201 _q(hardback)
024	7		_a10.1201/b15244 _2doi
035			_a(OCoLC)852896225
050		4	_aQA402.5 _b.A57 2014
082	0	4	_a519.6 _bA617
100	1		_aAnsari, Qamrul Hasan., _eauthor. _915011
245	1	0	_aGeneral convexity, nonsmooth variational inequalities, and nonsmooth optimization / _cQ.H. Ansari, C.S. Lalitha, M. Mehta.
264		1	_aBoca Raton : _bCRC Press, _c2014.
300			_a1 online resource (xv, 280 pages)
504			_aIncludes bibliographical references (pages 261-275) and index.
505	0		_a1. Generalized convexity and generalized monotonicity -- 2. Nonsmooth variational inequalities and nonsmooth optimization.
520			_aUntil now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction.The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential.The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential.Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes-- _cProvided by publisher.
650		0	_aNonsmooth optimization. _915012
650		0	_aInequalities (Mathematics) _915013
700	1		_aLalitha, C. S. _915014
700	1		_aMehta, Monika. _915015
776	0	8	_iPrint version: _z9781439868201 _w(DLC) 2013013506
856	4	0	_uhttps://www.taylorfrancis.com/books/9781439868218 _zClick here to view.
942			_cEBK
999			_c70852 _d70852