{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T01:41:25Z","timestamp":1743039685802,"version":"3.40.3"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319744995"},{"type":"electronic","value":"9783319745008"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-74500-8_92","type":"book-chapter","created":{"date-parts":[[2018,3,20]],"date-time":"2018-03-20T00:20:32Z","timestamp":1521505232000},"page":"1028-1034","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Some Properties of Pettis Integrable Multivalued Martingales"],"prefix":"10.1007","author":[{"given":"M\u2019hamed","family":"El-Louh","sequence":"first","affiliation":[]},{"given":"Fatima","family":"Ezzaki","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,3,21]]},"reference":[{"key":"92_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/978-4-431-99490-9_1","volume":"13","author":"F Akhiat","year":"2010","unstructured":"Akhiat, F., Castaing, C., Ezzaki, F.: Some variational convergence results for multivalued martingales. Adv. Math. Econ. 13, 1\u201333 (2010)","journal-title":"Adv. Math. Econ."},{"issue":"2","key":"92_CR2","first-page":"67","volume":"44","author":"A Amrani","year":"1996","unstructured":"Amrani, A., Castaing, C.: Weak compactness in Pettis integration. Bull. Polish Acad. Sci. 44(2), 67\u201379 (1996)","journal-title":"Bull. Polish Acad. Sci."},{"key":"92_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-247X(65)90049-1","volume":"12","author":"RJ Auman","year":"1965","unstructured":"Auman, R.J.: Integrals of set valued functions. J. Math. Anal. Appl. 12, 1\u201312 (1965)","journal-title":"J. Math. Anal. Appl."},{"key":"92_CR4","volume-title":"Convex Analysis and measurable multifunctions","author":"A Castaing","year":"1975","unstructured":"Castaing, A., Valadier, M.: Convex Analysis and measurable multifunctions. University des sciences et techniques de languedoc U.E.R de, Math\u00e9matiques (1975)"},{"issue":"1","key":"92_CR5","first-page":"37","volume":"1","author":"C Castaing","year":"1999","unstructured":"Castaing, C., Saadoune, M.: Dunford Pettis types theorem and convergences in set valued integration. J. Nonlinear Convex Anal. 1(1), 37\u201371 (1999)","journal-title":"J. Nonlinear Convex Anal."},{"key":"92_CR6","unstructured":"Castaing, C., Ezzaki, F., Lavie, M., Saadoune, M.: Weak star convergence of martingales in a dual space. Working paper, D\u00e9partement de Math\u00e9matiques, Universit\u00e9 Montpellier II, September 2009"},{"key":"92_CR7","unstructured":"Castaing, C., Ezzaki, F.: SLLN for convex random sets and random lower semicontinuous integrands. Atti. Sem. Mat. Fis. Univ. Modena XLV, 527\u2013553 (1997)"},{"key":"92_CR8","unstructured":"Castaing, C., Ezzaki, F.: Some convergence results for multivalued martingales in the limit. In: S\u00e9minaire d Analyse Convexe, Montpellier, expos\u00e9 No 1 (1990)"},{"issue":"312","key":"92_CR9","first-page":"695","volume":"I","author":"C Castaing","year":"1991","unstructured":"Castaing, C., Ezzaki, F.: Mosco convergence for multivalued martingales in the limit. C. R. Acad. Sci. Paris Ser. I(312), 695\u2013698 (1991)","journal-title":"C. R. Acad. Sci. Paris Ser."},{"issue":"2","key":"92_CR10","first-page":"133","volume":"124","author":"C Castaing","year":"1997","unstructured":"Castaing, C., Ezzaki, F.: Convergence of conditional expectation for unbounded closed convex random sets. Stud. Math. 124(2), 133\u2013148 (1997)","journal-title":"Stud. Math."},{"key":"92_CR11","doi-asserted-by":"crossref","unstructured":"Egghe, L.: Stopping Time Techniques for Analysts and Probabilists. London Mathematical Society Lecture Note Series, no. 100. Cambridge University Press, Cambridge (1984)","DOI":"10.1017\/CBO9780511526176"},{"issue":"2","key":"92_CR12","doi-asserted-by":"crossref","first-page":"345","DOI":"10.2140\/pjm.1984.114.345","volume":"114","author":"L Egghe","year":"1984","unstructured":"Egghe, L.: Convergence of adapted sequences of Pettis-integral of closed valued multifunctions. Pacific J. Math. 114(2), 345\u2013366 (1984)","journal-title":"Pacific J. Math."},{"key":"92_CR13","unstructured":"El Amri, K.: int\u00e9gral de Pettis et convergence, Th\u00e8se de Doctorat Univ\u00e9rsit\u00e9 Mohamed V Facult\u00e9 des Sciences Rabat (2000)"},{"key":"92_CR14","unstructured":"El Harami, M.: Contribution aux esp\u00e9rences conditionnelles des ensembles al\u00e9atoires Pettis int\u00e9grables et Applications \u00e0 la convergence des classes des martingales, Th\u00e8se de Doctorat Univ\u00e9rsit\u00e9 Sidi Mohamed Ben Abdellah Facult\u00e9 des Sciences et Techniques F\u00e8s (2012)"},{"issue":"3","key":"92_CR15","first-page":"353","volume":"44","author":"F Ezzaki","year":"1996","unstructured":"Ezzaki, F.: A general dominated convergence theorem for unbounded random sets. Bull. Polish Acad. Sci. Math. 44(3), 353\u2013361 (1996)","journal-title":"Bull. Polish Acad. Sci. Math."},{"key":"92_CR16","unstructured":"Ezzaki,F.: Contributions aux probl\u00e8mes de convergence des suites adapt\u00e9es et des ensembles al\u00e9atoires. Th\u00e8se de Doctorat, Universit\u00e9 de Montpellier II (1993)"},{"key":"92_CR17","first-page":"91","volume":"11","author":"F Ezzaki","year":"2012","unstructured":"Ezzaki, F., El Harami, M.: General Pettis conditional expectation and convergence theorems. Int. J. Math. Statist. 11, 91\u2013111 (2012)","journal-title":"Int. J. Math. Statist."},{"key":"92_CR18","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1090\/S0002-9939-1981-0603606-8","volume":"8","author":"R Geitz","year":"1981","unstructured":"Geitz, R.: Pettis integration. Proc. Am. Math. Soc. 8, 81\u201386 (1981)","journal-title":"Proc. Am. Math. Soc."},{"key":"92_CR19","doi-asserted-by":"crossref","first-page":"39","DOI":"10.2989\/16073600609486148","volume":"29","author":"C Godet-Thobie","year":"2006","unstructured":"Godet-Thobie, C., Satco, B.: Decomposability and uniform integrability in Pettis integration. Quaestiones Math. 29, 39\u201358 (2006)","journal-title":"Quaestiones Math."},{"key":"92_CR20","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/0047-259X(77)90037-9","volume":"7","author":"F Hiai","year":"1977","unstructured":"Hiai, F., Umegaki, H.: Integrals, conditional expectations, and martingales of multivalued functions. J. Multivar. Anal. 7, 149\u2013182 (1977)","journal-title":"J. Multivar. Anal."},{"issue":"1","key":"92_CR21","first-page":"25","volume":"12","author":"V Marraffa","year":"2005","unstructured":"Marraffa, V.: Stochastic process of vector valued Pettis and MacShane integrable functions. Folia Math. 12(1), 25\u201337 (2005)","journal-title":"Folia Math."},{"key":"92_CR22","unstructured":"Musial, K.: Vitali and Lebesgue convergence theorems for Pettis integral in locally convex spaces. Atti Sem. Mat. Fis. Univ. Modena XXXV, 159\u2013166 (1987)"},{"issue":"2","key":"92_CR23","doi-asserted-by":"crossref","first-page":"151","DOI":"10.4064\/sm-64-2-151-174","volume":"64","author":"K Musial","year":"1979","unstructured":"Musial, K.: The weak Radonn-Nikodym property in Banach space. Studia Math. 64(2), 151\u2013173 (1979)","journal-title":"Studia Math."},{"key":"92_CR24","doi-asserted-by":"crossref","unstructured":"Musial, K.: Martingales of Pettis integrable functions. In: Proceedings of the Conference on Measure Theory. Oberwolfach Lecture Notes in Mathematics, vol. 794, pp. 324\u2013339. Springer, Berlin (1980)","DOI":"10.1007\/BFb0088234"},{"issue":"3","key":"92_CR25","first-page":"769","volume":"18","author":"K Musial","year":"2011","unstructured":"Musial, K.: Pettis integrability of multifunctions with values in arbitrary Banach space. J. Convex Anal. 18(3), 769\u2013810 (2011)","journal-title":"J. Convex Anal."}],"container-title":["Lecture Notes in Networks and Systems","Innovations in Smart Cities and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-74500-8_92","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,3,20]],"date-time":"2018-03-20T16:28:00Z","timestamp":1521563280000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-74500-8_92"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319744995","9783319745008"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-74500-8_92","relation":{},"ISSN":["2367-3370","2367-3389"],"issn-type":[{"type":"print","value":"2367-3370"},{"type":"electronic","value":"2367-3389"}],"subject":[],"published":{"date-parts":[[2018]]}}}