{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:46:47Z","timestamp":1740124007713,"version":"3.37.3"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,8,21]],"date-time":"2015-08-21T00:00:00Z","timestamp":1440115200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004285","name":"Saint Petersburg State University (RU)","doi-asserted-by":"publisher","award":["9.38.205.2014"],"award-info":[{"award-number":["9.38.205.2014"]}],"id":[{"id":"10.13039\/501100004285","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2016,11]]},"DOI":"10.1007\/s10957-015-0796-7","type":"journal-article","created":{"date-parts":[[2015,8,20]],"date-time":"2015-08-20T11:46:03Z","timestamp":1440071163000},"page":"666-674","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Second-Order Minimization Method for Nonsmooth Functions Allowing Convex Quadratic Approximations of the Augment"],"prefix":"10.1007","volume":"171","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1484-4733","authenticated-orcid":false,"given":"M. E.","family":"Abbasov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,8,21]]},"reference":[{"issue":"1","key":"796_CR1","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/0041-5553(79)90069-7","volume":"19","author":"VM Panin","year":"1979","unstructured":"Panin, V.M.: About second order method for descrete minimax problem. Comput. Math. Math. Phys. 19(1), 88\u201398 (1979). (in Russian)","journal-title":"Comput. Math. Math. Phys."},{"issue":"1\u20133","key":"796_CR2","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF01581275","volume":"58","author":"L Qi","year":"1993","unstructured":"Qi, L., Sun, J.: A nonsmooth version of Newtons method. Math. Program. 58(1\u20133), 353\u2013367 (1993)","journal-title":"Math. Program."},{"issue":"1","key":"796_CR3","doi-asserted-by":"crossref","first-page":"15","DOI":"10.2298\/FIL1301015G","volume":"27","author":"M Gardasevic-Filipovic","year":"2013","unstructured":"Gardasevic-Filipovic, M., Duranovic-Milicic, N.: An algorithm using Moreau\u2013Yosida regularization for minimization of a nondifferentiable convex function. Filomat 27(1), 15\u201322 (2013)","journal-title":"Filomat"},{"key":"796_CR4","volume-title":"Convex analysis and extremal problems","author":"BN Pshenichny","year":"1980","unstructured":"Pshenichny, B.N.: Convex analysis and extremal problems. Nauka, Moscow (1980). (in Russian)"},{"key":"796_CR5","series-title":"Approximation and optimization","volume-title":"Constructive nonsmooth analysis","author":"VF Demyanov","year":"1995","unstructured":"Demyanov, V.F., Rubinov, A.M.: Constructive nonsmooth analysis. Approximation and optimization, vol. 7. Peter Lang, Frankfurt am Main (1995)"},{"key":"796_CR6","series-title":"Nonconvex optimization and its applications","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/978-1-4613-0287-2_4","volume-title":"From convexity to nonconvexity","author":"VF Demyanov","year":"2001","unstructured":"Demyanov, V.F., Rubinov, A.M.: Exhaustive families of approximations revisited. From convexity to nonconvexity. Nonconvex optimization and its applications, vol. 55, pp. 43\u201350. Kluwer Academic, Dordrecht (2001)"},{"issue":"1\u20134","key":"796_CR7","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1080\/02331939908844424","volume":"45","author":"VF Demyanov","year":"1999","unstructured":"Demyanov, V.F.: Exhausters af a positively homogeneous function. Optimization 45(1\u20134), 13\u201329 (1999)","journal-title":"Optimization"},{"key":"796_CR8","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/978-1-4757-3137-8_4","volume-title":"Quasidifferentiability and related topics","author":"VF Demyanov","year":"2000","unstructured":"Demyanov, V.F.: Exhausters and convexificators\u2014new tools in nonsmooth analysis. In: Demyanov, V., Rubinov, A. (eds.) Quasidifferentiability and related topics, pp. 85\u2013137. Kluwer Academic Publishers, Dordrecht (2000)"},{"issue":"5\u20136","key":"796_CR9","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1080\/02331930600815777","volume":"55","author":"VF Demyanov","year":"2006","unstructured":"Demyanov, V.F., Roschina, V.A.: Optimality conditions in terms of upper and lower exhausters. Optimization 55(5\u20136), 525\u2013540 (2006)","journal-title":"Optimization"},{"issue":"2","key":"796_CR10","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/s10898-012-9873-8","volume":"56","author":"ME Abbasov","year":"2013","unstructured":"Abbasov, M.E., Demyanov, V.F.: Proper and adjoint exhausters in nonsmooth analysis: optimality conditions. J. Glob. Optim. 56(2), 569\u2013585 (2013)","journal-title":"J. Glob. Optim."},{"key":"796_CR11","volume-title":"Introduction to minimax","author":"VF Demyanov","year":"1974","unstructured":"Demyanov, V.F., Malozemov, V.N.: Introduction to minimax. Halsted Press\/Wiley, New York (1974)"},{"issue":"12","key":"796_CR12","doi-asserted-by":"crossref","first-page":"28","DOI":"10.3103\/S1066369X12120043","volume":"56","author":"MV Dolgopolik","year":"2012","unstructured":"Dolgopolik, M.V.: Inhomogeneous convex approximations of nonsmooth functions. Russ. Math. 56(12), 28\u201342 (2012)","journal-title":"Russ. Math."},{"issue":"1 Supplement","key":"796_CR13","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1134\/S0081543810060027","volume":"269","author":"ME Abbasov","year":"2010","unstructured":"Abbasov, M.E., Demyanov, V.F.: Extremum conditions for a nonsmooth function in terms of exhausters and coexhausters. Proc. Steklov Inst. Math. 269(1 Supplement), 6\u201315 (2010)","journal-title":"Proc. Steklov Inst. Math."},{"issue":"11","key":"796_CR14","doi-asserted-by":"crossref","first-page":"1347","DOI":"10.1080\/02331934.2012.700929","volume":"61","author":"VF Demyanov","year":"2012","unstructured":"Demyanov, V.F.: Proper exhausters and coexhausters in nonsmooth analysis. Optimization 61(11), 1347\u20131368 (2012)","journal-title":"Optimization"},{"issue":"3","key":"796_CR15","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1007\/s10957-012-0144-0","volume":"156","author":"ME Abbasov","year":"2013","unstructured":"Abbasov, M.E., Demyanov, V.F.: Adjoint coexhausters in nonsmooth analysis and extremality conditions. J. Optim. Theory Appl. 156(3), 535\u2013553 (2013)","journal-title":"J. Optim. Theory Appl."},{"key":"796_CR16","volume-title":"Mathematical programming: theory and algorithms","author":"M Minoux","year":"1986","unstructured":"Minoux, M.: Mathematical programming: theory and algorithms. Wiley, New York (1986)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-015-0796-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-015-0796-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-015-0796-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-015-0796-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T05:58:44Z","timestamp":1559455124000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-015-0796-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,21]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,11]]}},"alternative-id":["796"],"URL":"https:\/\/doi.org\/10.1007\/s10957-015-0796-7","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"type":"print","value":"0022-3239"},{"type":"electronic","value":"1573-2878"}],"subject":[],"published":{"date-parts":[[2015,8,21]]}}}