{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T22:57:26Z","timestamp":1743116246906,"version":"3.40.3"},"publisher-location":"Boston, MA","reference-count":18,"publisher":"Springer US","isbn-type":[{"type":"print","value":"9780387747583"},{"type":"electronic","value":"9780387747590"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.springer.com\/tdm"},{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-0-387-74759-0_626","type":"book-chapter","created":{"date-parts":[[2008,8,25]],"date-time":"2008-08-25T11:08:03Z","timestamp":1219662483000},"page":"3639-3643","source":"Crossref","is-referenced-by-count":0,"title":["Solving Hemivariational Inequalities by Nonsmooth Optimization Methods"],"prefix":"10.1007","author":[{"given":"Markku","family":"Miettinen","sequence":"first","affiliation":[]},{"given":"Marko M.","family":"M\u00e4kel\u00e4","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"626_CR1_626","first-page":"15","volume":"68","author":"J.F. Bonnans","year":"1995","unstructured":"Bonnans JF, Gilbert JC, Lemar\u00e8chal C, Sagastiz\u00e0bal C (1995) A\u00a0family of variable metric proximal methods. Math Program 68:15\u201347","journal-title":"Math. Program."},{"key":"626_CR2_626","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-2024(08)70178-4","volume-title":"The finite element method for elliptic problems","author":"P.G. Ciarlet","year":"1978","unstructured":"Ciarlet PG (1978) The finite element method for elliptic problems. North-Holland, Amsterdam"},{"key":"626_CR3_626","volume-title":"Optimization and nonsmooth analysis","author":"F.H. Clarke","year":"1983","unstructured":"Clarke FH (1983) Optimization and nonsmooth analysis. Wiley, New York"},{"key":"626_CR4_626","first-page":"703","volume":"8","author":"J.E. Kelley","year":"1960","unstructured":"Kelley JE (1960) The cutting plane method for solving convex programs. SIAM J 8:703\u2013712","journal-title":"SIAM J."},{"key":"626_CR5_626","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0074500","volume-title":"Methods of descent for nondifferentiable optimization","author":"K.C. Kiwiel","year":"1985","unstructured":"Kiwiel KC (1985) Methods of descent for nondifferentiable optimization. Springer, Berlin"},{"key":"626_CR6_626","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1007\/BF01585731","volume":"46","author":"K.C. Kiwiel","year":"1990","unstructured":"Kiwiel KC (1990) Proximity control in bundle methods for convex nondifferentiable optimization. Math Program 46:105\u2013122","journal-title":"Math. Program."},{"key":"626_CR7_626","first-page":"245","volume-title":"Nonlinear Programming","author":"C. Lemar\u00e8chal","year":"1981","unstructured":"Lemar\u00e8chal C, Strodiot J-J, Bihain A (1981) On a\u00a0bundle algorithm for nonsmooth optimization. In: Mangasarian OL, Mayer RR, Robinson SM (eds) Nonlinear Programming. Acad. Press, New York, pp 245\u2013281"},{"key":"626_CR8_626","unstructured":"Luk\u0161an L, Vl\u010dek J (1995) A\u00a0bundle-Newton method for nonsmooth unconstrained minimization. Techn. Report Inst. Computer Sci. Acad. Sci. Czech Republic 654"},{"key":"626_CR9_626","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1093\/imanum\/15.4.475","volume":"15","author":"M. Miettinen","year":"1995","unstructured":"Miettinen M, Haslinger J (1995) Approximation of nonmonotone multivalued differential inclusions. IMA J Numer Anal 15:475\u2013503","journal-title":"IMA J. Numer. Anal."},{"key":"626_CR10_626","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1023\/A:1008234502169","volume":"10","author":"M. Miettinen","year":"1997","unstructured":"Miettinen M, Haslinger J (1997) Finite element approximation of vector-valued hemivariational inequalities. J\u00a0Global Optim 10:17\u201335","journal-title":"J. Global Optim."},{"key":"626_CR11_626","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/BF01100086","volume":"6","author":"M. Miettinen","year":"1995","unstructured":"Miettinen M, M\u00e4kel\u00e4 MM, Haslinger J (1995) On numerical solution of hemivariational inequalities by nonsmooth optimization methods. J\u00a0Global Optim 6:401\u2013425","journal-title":"J. Global Optim."},{"key":"626_CR12_626","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1023\/A:1008282922372","volume":"14","author":"M.M. M\u00e4kel\u00e4","year":"1999","unstructured":"M\u00e4kel\u00e4 MM, Miettinen M, Luk\u0161an L, Vl\u010dek J (1999) Comparing nonsmooth nonconvex bundle methods in solving hemivariational inequalities. J\u00a0Global Optim 14:117\u2013135","journal-title":"J. Global Optim."},{"key":"626_CR13_626","doi-asserted-by":"crossref","DOI":"10.1142\/1493","volume-title":"Nonsmooth optimization: Analysis and algorithms with applications to optimal control","author":"M.M. M\u00e4kel\u00e4","year":"1992","unstructured":"M\u00e4kel\u00e4 MM, Neittaanm\u00e4ki P (1992) Nonsmooth optimization: Analysis and algorithms with applications to optimal control. World Sci., Singapore"},{"key":"626_CR14_626","volume-title":"Mathematical theory of hemivariational inequalities and applications","author":"Z. Naniewicz","year":"1995","unstructured":"Naniewicz Z, Panagiotopoulos PD (1995) Mathematical theory of hemivariational inequalities and applications. M. Dekker, New York"},{"key":"626_CR15_626","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-51677-1","volume-title":"Hemivariational inequalities. Applications in mechanics and engineering","author":"P.D. Panagiotopoulos","year":"1993","unstructured":"Panagiotopoulos PD (1993) Hemivariational inequalities. Applications in mechanics and engineering. Springer, Berlin"},{"key":"626_CR16_626","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1137\/0802008","volume":"2","author":"H. Schramm","year":"1992","unstructured":"Schramm H, Zowe J (1992) A\u00a0version of the bundle idea for minimizing a\u00a0nonsmooth functions: Conceptual idea, convergence analysis, numerical results. SIAM J Optim 2:121\u2013152","journal-title":"SIAM J. Optim."},{"key":"626_CR17_626","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-82118-9","volume-title":"Minimization methods for non-differentiable functions","author":"N.Z. Shor","year":"1985","unstructured":"Shor NZ (1985) Minimization methods for non\u2010differentiable functions. Springer, Berlin"},{"key":"626_CR18_626","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1007\/BFb0120703","volume":"3","author":"P. Wolfe","year":"1975","unstructured":"Wolfe P (1975) A\u00a0method of conjugate subgradients for minimizing nondifferentiable functions. Math Program Stud 3:145\u2013173","journal-title":"Math. Program. Stud."}],"container-title":["Encyclopedia of Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-74759-0_626","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T10:42:09Z","timestamp":1720694529000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/link.springer.com\/10.1007\/978-0-387-74759-0_626"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9780387747583","9780387747590"],"references-count":18,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1007\/978-0-387-74759-0_626","relation":{},"subject":[],"published":{"date-parts":[[2008]]}}}