{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T20:36:32Z","timestamp":1776458192721,"version":"3.51.2"},"reference-count":33,"publisher":"IEEE","license":[{"start":{"date-parts":[[2023,6,13]],"date-time":"2023-06-13T00:00:00Z","timestamp":1686614400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,6,13]],"date-time":"2023-06-13T00:00:00Z","timestamp":1686614400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,6,13]]},"DOI":"10.23919\/ecc57647.2023.10178118","type":"proceedings-article","created":{"date-parts":[[2023,8,1]],"date-time":"2023-08-01T14:00:50Z","timestamp":1690898450000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["Calculus rules for proximal \u03b5-subdifferentials and inexact proximity operators for weakly convex functions"],"prefix":"10.23919","author":[{"given":"Ewa","family":"Bednarczuk","sequence":"first","affiliation":[{"name":"Systems Research Institute, PAS,Warsaw,Newelska 6,Poland,01-447"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Giovanni","family":"Bruccola","sequence":"additional","affiliation":[{"name":"Systems Research Institute, PAS,Warsaw,Newelska 6,Poland,01-447"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gabriele","family":"Scrivanti","sequence":"additional","affiliation":[{"name":"Universit&#x00E9; Paris-Saclay, Inria, CentraleSup&#x00E9;lec, CVN, 3 Rue Joliot Curie,Gif-Sur-Yvette,France,91190"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"The Hung","family":"Tran","sequence":"additional","affiliation":[{"name":"Systems Research Institute, PAS,Warsaw,Newelska 6,Poland,01-447"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/S0924-6509(09)70252-1"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-007-2247-7"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-48311-5"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9467-7"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1080\/02331934.2021.2010076"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.06.003"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-020-01800-z"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/b138356"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/4\/008"},{"key":"ref10","volume-title":"The proximity operator repository","author":"CHIERCHIA"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9569-8_10"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/18M1178244"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-018-1372-8"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/17M1151031"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02796-7"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.4064\/sm-117-2-123-136"},{"key":"ref17","article-title":"Subdifferentiability and subdifferential monotonicity of \u03b3-paraconvex functions","volume":"25","author":"JOURANI","year":"1996","journal-title":"Control and Cybernetics"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023673105317"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1051\/proc:071707"},{"issue":"1-2","key":"ref20","first-page":"211","article-title":"On nonconvex subdifferential calculus in Banach spaces","volume":"2","author":"MORDUKHOVICH","year":"1995","journal-title":"J. Convex Anal"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-020-00186-y"},{"key":"ref22","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"ROCKAFELLAR","year":"1998"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-66-03312-6"},{"key":"ref24","first-page":"539","article-title":"On paraconvex multifunctions","volume":"31","author":"ROLEWICZ","year":"1979","journal-title":"Oper. Res.-Verf"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.4064\/am-22-1-69-73"},{"issue":"3","key":"ref26","first-page":"323","article-title":"On uniformly approximate convex and strongly \u03b1(\u00b7)-paraconvex functions","volume":"30","author":"ROLEWICZ","year":"2001","journal-title":"Control and Cybernetics"},{"issue":"3","key":"ref27","first-page":"951","article-title":"Paraconvex analysis","volume":"34","author":"ROLEWICZ","year":"2005","journal-title":"Control and Cybernetics"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"issue":"4","key":"ref29","first-page":"1167","article-title":"Inexact and accelerated proximal point algorithms","volume":"19","author":"SALZO","year":"2012","journal-title":"Journal of Convex Analysis"},{"key":"ref30","article-title":"On global properties of lower semicontinuous quadratically minorized functions","author":"SYGA","year":"2019","journal-title":"arXiv:1912.04644"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/0329056"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/110844805"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1142\/5021"}],"event":{"name":"2023 European Control Conference (ECC)","location":"Bucharest, Romania","start":{"date-parts":[[2023,6,13]]},"end":{"date-parts":[[2023,6,16]]}},"container-title":["2023 European Control Conference (ECC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/10178092\/10178115\/10178118.pdf?arnumber=10178118","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T18:37:57Z","timestamp":1710355077000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10178118\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,13]]},"references-count":33,"URL":"https:\/\/doi.org\/10.23919\/ecc57647.2023.10178118","relation":{},"subject":[],"published":{"date-parts":[[2023,6,13]]}}}