DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS

Saved in:
Bibliographic Details
Published in:Nonlinear analysis Vol. 29; no. 2; pp. 201 - 219
Main Author: IOFFE, A.D.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.07.1997
Subjects:
ISSN:0362-546X, 1873-5215
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Author IOFFE, A.D.
Author_xml – sequence: 1
  givenname: A.D.
  surname: IOFFE
  fullname: IOFFE, A.D.
  organization: Department of Mathematics, Technion, Haifa 34608, Israel
BookMark eNqFkE1Lw0AURQepYFv9CUKWCo7OdCaTBBcS0rQN5qM0EcTNkJm-wEhNJAmC_960FRduunqLd8-FeyZoVDc1IHRNyT0lVDzkhIkZtrl4vfHELSGECyzO0Ji6DsP2jNojNP6LXKBJ170PIeowMUbP82gTBkWUpX5sBVmy9oMiDfP8zsoDP_Y30Zu_f1p-OrfSLM2TLCtWVh4mEV5swvkqixMr8dfrKF3ml-i8KncdXP3eKXpZhEWwwnG2jIY2rBlxeqzB5SC2ZQWcaKZK7imhCCcANtBSuzMQihHuKk8BVdzRDqXMc4WuPLsSULEpejz26rbpuhYqqU1f9qap-7Y0O0mJ3HuRBy9yP1p6Qh68SDHQ9j_6szUfZft9kns6cjBM-zLQyk4bqDVsTQu6l9vGnGj4AT4Fd2U
CitedBy_id crossref_primary_10_1017_S1446788715000695
crossref_primary_10_1287_moor_1070_0274
Cites_doi 10.1016/0362-546X(85)90095-1
10.1016/0362-546X(87)90073-3
10.1017/S0004972700016142
10.1007/BF01789411
10.1016/0021-8928(76)90136-2
10.1112/S0025579300013541
10.1017/S0004972700015276
10.1090/S0273-0979-1984-15194-2
10.1007/BF00419371
10.1137/S0363012994268801
10.1090/S0002-9947-1981-0613784-7
10.2307/2154809
10.1090/S0002-9947-96-01543-7
10.1112/jlms/s2-41.1.175
10.1016/0362-546X(84)90091-9
10.1007/BF00968624
ContentType Journal Article
Copyright 1997 Elsevier Science Ltd
Copyright_xml – notice: 1997 Elsevier Science Ltd
DBID AAYXX
CITATION
DOI 10.1016/S0362-546X(96)00046-6
DatabaseName CrossRef
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
Engineering
Mathematics
EISSN 1873-5215
EndPage 219
ExternalDocumentID 10_1016_S0362_546X_96_00046_6
S0362546X96000466
GroupedDBID --K
--M
-~X
.~1
0R~
123
1B1
1RT
1~.
1~5
29N
4.4
457
4G.
5VS
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
ABAOU
ABEFU
ABFNM
ABLJU
ABMAC
ABXDB
ABYKQ
ACAZW
ACDAQ
ACGFS
ACIWK
ACNNM
ACRLP
ADBBV
ADEZE
ADGUI
ADIYS
ADMUD
ADTZH
AEBSH
AECPX
AEKER
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHJVU
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BJAXD
BKOJK
BLXMC
CS3
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
GBLVA
HMJ
HVGLF
HZ~
IHE
J1W
JJJVA
KOM
M26
M41
MHUIS
MO0
MVM
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SME
SPC
SPCBC
SST
SSW
SSZ
T5K
TN5
WUQ
XPP
YQT
ZMT
~G-
9DU
AATTM
AAXKI
AAYWO
AAYXX
ABJNI
ABWVN
ACLOT
ACRPL
ADNMO
AEIPS
AFJKZ
AGQPQ
AIIUN
ANKPU
APXCP
CITATION
EFKBS
~HD
ID FETCH-LOGICAL-c307t-ce84e6dafe40c3ba49b6b040ee5e1ac82e6b3048b9be1b47c7113986cf95f6ef3
ISICitedReferencesCount 6
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=10_1016_S0362_546X_96_00046_6&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0362-546X
IngestDate Sat Nov 29 02:50:36 EST 2025
Tue Nov 18 22:18:20 EST 2025
Fri Feb 23 02:32:37 EST 2024
IsPeerReviewed true
IsScholarly true
Issue 2
Keywords Nondifferentiable mapping
Language English
License https://www.elsevier.com/tdm/userlicense/1.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c307t-ce84e6dafe40c3ba49b6b040ee5e1ac82e6b3048b9be1b47c7113986cf95f6ef3
PageCount 19
ParticipantIDs crossref_citationtrail_10_1016_S0362_546X_96_00046_6
crossref_primary_10_1016_S0362_546X_96_00046_6
elsevier_sciencedirect_doi_10_1016_S0362_546X_96_00046_6
PublicationCentury 1900
PublicationDate 1997-07-01
PublicationDateYYYYMMDD 1997-07-01
PublicationDate_xml – month: 07
  year: 1997
  text: 1997-07-01
  day: 01
PublicationDecade 1990
PublicationTitle Nonlinear analysis
PublicationYear 1997
Publisher Elsevier Ltd
Publisher_xml – name: Elsevier Ltd
References MORDUKHOVICH (BIB15) 1976; 40
JOURANI, THIBAULT (BIB16) 1993; 47
PENOT J.P., Compactness property, openness criteria and coderivatives. (Preprint, 1995.)
BORWEIN J. & ZHU J., Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity
Nauka, Moscow (1988). (In Russian; English translation to be published by Wiley Interscience.)
JOURANI, THIBAULT (BIB5) 1995; 347
LOEWEN P.D., Limits of Fréchet normals in nonsmooth analysis, in
JOURANI A. & THIBAULT L., Metric regularity and strongly compactly Lipschitzean mappings
IOFFE (BIB11) 1984; 10
BORWEIN, IOFFE (BIB17) 1996; 4
MORDUKHOVICH B. & YONGHENG SHAO, Stability of set-valued mappings in infinite dimension: point criteria and applications
IOFFE (BIB13) 1990; 41
IOFFE (BIB19) 1984; 8
IOFFE (BIB20) 1996; 323
THIBAULT (BIB22) 1980; 125
GINSBURG B. & IOFFE A., The maximum principle in optimal control of systems governed by semilinear equations.
9, 159–189 (1984)
IOFFE (BIB21) 1981; 266
Minneapolis 1993 (Edited by B. MORDUKHOVICH and H. SUSSMAN). Springer. (To appear.)
GLOVER B.M. & CRAVEN B.D., A Fritz John optimality condition using the approximate subdifferential. (Preprint, 1992.)
IOFFE A., Codirectional compactness and metric regularity of set-valued mappings. (In preparation.).
IOFFE (BIB14) 1981; 292
MORDUKHOVICH B.
IOFFE A., Nonsmooth subdifferentials: their calculus and applications.
(Edited by A. IOFFE, M. MARCUS and S. REICH), pp. 178–188. Longman, Essex (1992).
Tampa, 1991. de Gruyter, New York, pp. 2299–2310 (1996).
KRUGER (BIB25) 1985; 26
To appear.
JOURANI, THIBAULT (BIB28) 1994; 49
MORDUKHOVICH, YONGHENG (BIB6) 1996; 348
IOFFE A., Necessary conditions in nonsmooth optimization
FABIAN (BIB26) 1989; 30
IOFFE (BIB2) 1987; 11
11, 565–592 (1987).
IOFFE (BIB1) 1984; 281
IOFFE (BIB3) 1989; 36
BORWEIN, STROJWAS (BIB29) 1985; 9
IOFFE (10.1016/S0362-546X(96)00046-6_BIB13) 1990; 41
BORWEIN (10.1016/S0362-546X(96)00046-6_BIB17) 1996; 4
10.1016/S0362-546X(96)00046-6_BIB18
MORDUKHOVICH (10.1016/S0362-546X(96)00046-6_BIB6) 1996; 348
MORDUKHOVICH (10.1016/S0362-546X(96)00046-6_BIB15) 1976; 40
BORWEIN (10.1016/S0362-546X(96)00046-6_BIB29) 1985; 9
JOURANI (10.1016/S0362-546X(96)00046-6_BIB28) 1994; 49
IOFFE (10.1016/S0362-546X(96)00046-6_BIB19) 1984; 8
JOURANI (10.1016/S0362-546X(96)00046-6_BIB16) 1993; 47
IOFFE (10.1016/S0362-546X(96)00046-6_BIB11) 1984; 10
JOURANI (10.1016/S0362-546X(96)00046-6_BIB5) 1995; 347
10.1016/S0362-546X(96)00046-6_BIB24
10.1016/S0362-546X(96)00046-6_BIB23
10.1016/S0362-546X(96)00046-6_BIB27
10.1016/S0362-546X(96)00046-6_BIB9
10.1016/S0362-546X(96)00046-6_BIB7
10.1016/S0362-546X(96)00046-6_BIB8
KRUGER (10.1016/S0362-546X(96)00046-6_BIB25) 1985; 26
IOFFE (10.1016/S0362-546X(96)00046-6_BIB1) 1984; 281
10.1016/S0362-546X(96)00046-6_BIB4
IOFFE (10.1016/S0362-546X(96)00046-6_BIB3) 1989; 36
IOFFE (10.1016/S0362-546X(96)00046-6_BIB20) 1996; 323
IOFFE (10.1016/S0362-546X(96)00046-6_BIB21) 1981; 266
IOFFE (10.1016/S0362-546X(96)00046-6_BIB2) 1987; 11
FABIAN (10.1016/S0362-546X(96)00046-6_BIB26) 1989; 30
10.1016/S0362-546X(96)00046-6_BIB30
10.1016/S0362-546X(96)00046-6_BIB10
10.1016/S0362-546X(96)00046-6_BIB12
THIBAULT (10.1016/S0362-546X(96)00046-6_BIB22) 1980; 125
IOFFE (10.1016/S0362-546X(96)00046-6_BIB14) 1981; 292
References_xml – reference: GINSBURG B. & IOFFE A., The maximum principle in optimal control of systems governed by semilinear equations.
– reference: PENOT J.P., Compactness property, openness criteria and coderivatives. (Preprint, 1995.)
– volume: 4
  start-page: 1
  year: 1996
  end-page: 24
  ident: BIB17
  article-title: Proximal analysis in smooth spaces
  publication-title: Set-Valued Analysis
– reference: IOFFE A., Nonsmooth subdifferentials: their calculus and applications.
– volume: 266
  start-page: 1
  year: 1981
  end-page: 56
  ident: BIB21
  article-title: Nonsmooth analysis: differential calculus of nondifferentiable mappings
  publication-title: Trans. Am. math. Soc.
– reference: BORWEIN J. & ZHU J., Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity,
– reference: IOFFE A., Codirectional compactness and metric regularity of set-valued mappings. (In preparation.).
– volume: 41
  start-page: 175
  year: 1990
  end-page: 192
  ident: BIB13
  article-title: Proximal analysis and approximate subdifferentials
  publication-title: J. London math. Soc.
– volume: 40
  start-page: 960
  year: 1976
  end-page: 969
  ident: BIB15
  article-title: Maximum principle in an optimal time control problem with nonsmooth constraints
  publication-title: J. Appl. Math. Mech.
– volume: 281
  start-page: 289
  year: 1984
  end-page: 316
  ident: BIB1
  article-title: Approximate subdifferentials and applications—1. The finite dimensional theory
  publication-title: Trans. Am. math Soc.
– volume: 47
  start-page: 443
  year: 1993
  end-page: 455
  ident: BIB16
  article-title: The approximate subdifferential of a composite function
  publication-title: Bull. Aust. Math. Soc.
– volume: 347
  start-page: 443
  year: 1995
  end-page: 455
  ident: BIB5
  article-title: Verifiable conditions for openness and regularity of multivalued mappings
  publication-title: Trans. Am. math. Soc.
– reference: (Edited by A. IOFFE, M. MARCUS and S. REICH), pp. 178–188. Longman, Essex (1992).
– reference: . (To appear.)
– volume: 348
  start-page: 1235
  year: 1996
  end-page: 1280
  ident: BIB6
  article-title: Nonsmooth sequential analysis in Asplund spaces
  publication-title: Trans. Am. math. Soc.
– volume: 323
  start-page: 107
  year: 1996
  end-page: 112
  ident: BIB20
  article-title: Separable reduction theorem for approximate subdifferentials
  publication-title: C. r. Acad. Sci. Paris
– reference: JOURANI A. & THIBAULT L., Metric regularity and strongly compactly Lipschitzean mappings,
– reference: MORDUKHOVICH B.,
– volume: 49
  start-page: 111
  year: 1994
  end-page: 116
  ident: BIB28
  article-title: A note on Fréchet and approximate subdifferentials of composite functions
  publication-title: Bull. Austr. math. Soc.
– volume: 292
  start-page: 675
  year: 1981
  end-page: 678
  ident: BIB14
  article-title: Sous-differentielles approchées de fonctions numériques
  publication-title: C. r. Acad. Sci. Paris
– reference: , Minneapolis 1993 (Edited by B. MORDUKHOVICH and H. SUSSMAN). Springer. (To appear.)
– volume: 9
  start-page: 1347
  year: 1985
  end-page: 1366
  ident: BIB29
  article-title: Tangential approximations
  publication-title: Nonlinear Analysis
– volume: 11
  start-page: 565
  year: 1987
  end-page: 592
  ident: BIB2
  article-title: On the local surjection property
  publication-title: Nonlinear Analysis
– reference: (To appear.)
– volume: 125
  start-page: 157
  year: 1980
  end-page: 192
  ident: BIB22
  article-title: Subdifferentials of compactly Lipschitzean vector-valued functions
  publication-title: Ann. Math. Pura ed Applicata
– reference: . Nauka, Moscow (1988). (In Russian; English translation to be published by Wiley Interscience.)
– volume: 10
  start-page: 87
  year: 1984
  end-page: 89
  ident: BIB11
  article-title: Subdifferentiability spaces and nonsmooth analysis
  publication-title: Bull. Am. math. Soc.
– reference: MORDUKHOVICH B. & YONGHENG SHAO, Stability of set-valued mappings in infinite dimension: point criteria and applications,
– reference: 9, 159–189 (1984);
– volume: 30
  start-page: 51
  year: 1989
  end-page: 56
  ident: BIB26
  article-title: Subdifferentiability and trustworthiness in the light of the new variational principle of Borwein and Preiss
  publication-title: Acta Univ. Carolinae
– reference: LOEWEN P.D., Limits of Fréchet normals in nonsmooth analysis, in
– volume: 36
  start-page: 1
  year: 1989
  end-page: 38
  ident: BIB3
  article-title: Approximate subdifferentials and applications—3. The metric theory
  publication-title: Mathematika
– reference: GLOVER B.M. & CRAVEN B.D., A Fritz John optimality condition using the approximate subdifferential. (Preprint, 1992.)
– reference: . 11, 565–592 (1987).
– volume: 8
  start-page: 517
  year: 1984
  end-page: 539
  ident: BIB19
  article-title: Calculus of Dini subdifferentials of functions and contingent derivatives of set-valued maps
  publication-title: Nonlinear Analysis
– volume: 26
  start-page: 370
  year: 1985
  end-page: 379
  ident: BIB25
  article-title: Generalized differentials of nonsmooth functions and necessary conditions for an extremum,
  publication-title: Siberian math. J.
– reference: IOFFE A., Necessary conditions in nonsmooth optimization,
– reference: , Tampa, 1991. de Gruyter, New York, pp. 2299–2310 (1996).
– volume: 9
  start-page: 1347
  year: 1985
  ident: 10.1016/S0362-546X(96)00046-6_BIB29
  article-title: Tangential approximations
  publication-title: Nonlinear Analysis
  doi: 10.1016/0362-546X(85)90095-1
– volume: 292
  start-page: 675
  year: 1981
  ident: 10.1016/S0362-546X(96)00046-6_BIB14
  article-title: Sous-differentielles approchées de fonctions numériques
  publication-title: C. r. Acad. Sci. Paris
– volume: 11
  start-page: 565
  year: 1987
  ident: 10.1016/S0362-546X(96)00046-6_BIB2
  article-title: On the local surjection property
  publication-title: Nonlinear Analysis
  doi: 10.1016/0362-546X(87)90073-3
– ident: 10.1016/S0362-546X(96)00046-6_BIB18
– volume: 49
  start-page: 111
  year: 1994
  ident: 10.1016/S0362-546X(96)00046-6_BIB28
  article-title: A note on Fréchet and approximate subdifferentials of composite functions
  publication-title: Bull. Austr. math. Soc.
  doi: 10.1017/S0004972700016142
– ident: 10.1016/S0362-546X(96)00046-6_BIB10
– ident: 10.1016/S0362-546X(96)00046-6_BIB4
– volume: 125
  start-page: 157
  year: 1980
  ident: 10.1016/S0362-546X(96)00046-6_BIB22
  article-title: Subdifferentials of compactly Lipschitzean vector-valued functions
  publication-title: Ann. Math. Pura ed Applicata
  doi: 10.1007/BF01789411
– ident: 10.1016/S0362-546X(96)00046-6_BIB8
– volume: 40
  start-page: 960
  year: 1976
  ident: 10.1016/S0362-546X(96)00046-6_BIB15
  article-title: Maximum principle in an optimal time control problem with nonsmooth constraints
  publication-title: J. Appl. Math. Mech.
  doi: 10.1016/0021-8928(76)90136-2
– ident: 10.1016/S0362-546X(96)00046-6_BIB27
– volume: 36
  start-page: 1
  year: 1989
  ident: 10.1016/S0362-546X(96)00046-6_BIB3
  article-title: Approximate subdifferentials and applications—3. The metric theory
  publication-title: Mathematika
  doi: 10.1112/S0025579300013541
– volume: 47
  start-page: 443
  year: 1993
  ident: 10.1016/S0362-546X(96)00046-6_BIB16
  article-title: The approximate subdifferential of a composite function
  publication-title: Bull. Aust. Math. Soc.
  doi: 10.1017/S0004972700015276
– ident: 10.1016/S0362-546X(96)00046-6_BIB23
– volume: 281
  start-page: 289
  year: 1984
  ident: 10.1016/S0362-546X(96)00046-6_BIB1
  article-title: Approximate subdifferentials and applications—1. The finite dimensional theory
  publication-title: Trans. Am. math Soc.
– volume: 323
  start-page: 107
  year: 1996
  ident: 10.1016/S0362-546X(96)00046-6_BIB20
  article-title: Separable reduction theorem for approximate subdifferentials
  publication-title: C. r. Acad. Sci. Paris
– volume: 10
  start-page: 87
  year: 1984
  ident: 10.1016/S0362-546X(96)00046-6_BIB11
  article-title: Subdifferentiability spaces and nonsmooth analysis
  publication-title: Bull. Am. math. Soc.
  doi: 10.1090/S0273-0979-1984-15194-2
– volume: 4
  start-page: 1
  year: 1996
  ident: 10.1016/S0362-546X(96)00046-6_BIB17
  article-title: Proximal analysis in smooth spaces
  publication-title: Set-Valued Analysis
  doi: 10.1007/BF00419371
– volume: 30
  start-page: 51
  year: 1989
  ident: 10.1016/S0362-546X(96)00046-6_BIB26
  article-title: Subdifferentiability and trustworthiness in the light of the new variational principle of Borwein and Preiss
  publication-title: Acta Univ. Carolinae
– ident: 10.1016/S0362-546X(96)00046-6_BIB9
– ident: 10.1016/S0362-546X(96)00046-6_BIB12
  doi: 10.1137/S0363012994268801
– ident: 10.1016/S0362-546X(96)00046-6_BIB30
– volume: 266
  start-page: 1
  year: 1981
  ident: 10.1016/S0362-546X(96)00046-6_BIB21
  article-title: Nonsmooth analysis: differential calculus of nondifferentiable mappings
  publication-title: Trans. Am. math. Soc.
  doi: 10.1090/S0002-9947-1981-0613784-7
– volume: 347
  start-page: 443
  year: 1995
  ident: 10.1016/S0362-546X(96)00046-6_BIB5
  article-title: Verifiable conditions for openness and regularity of multivalued mappings
  publication-title: Trans. Am. math. Soc.
  doi: 10.2307/2154809
– volume: 348
  start-page: 1235
  year: 1996
  ident: 10.1016/S0362-546X(96)00046-6_BIB6
  article-title: Nonsmooth sequential analysis in Asplund spaces
  publication-title: Trans. Am. math. Soc.
  doi: 10.1090/S0002-9947-96-01543-7
– volume: 41
  start-page: 175
  year: 1990
  ident: 10.1016/S0362-546X(96)00046-6_BIB13
  article-title: Proximal analysis and approximate subdifferentials
  publication-title: J. London math. Soc.
  doi: 10.1112/jlms/s2-41.1.175
– ident: 10.1016/S0362-546X(96)00046-6_BIB7
– volume: 8
  start-page: 517
  year: 1984
  ident: 10.1016/S0362-546X(96)00046-6_BIB19
  article-title: Calculus of Dini subdifferentials of functions and contingent derivatives of set-valued maps
  publication-title: Nonlinear Analysis
  doi: 10.1016/0362-546X(84)90091-9
– ident: 10.1016/S0362-546X(96)00046-6_BIB24
– volume: 26
  start-page: 370
  year: 1985
  ident: 10.1016/S0362-546X(96)00046-6_BIB25
  article-title: Generalized differentials of nonsmooth functions and necessary conditions for an extremum,
  publication-title: Siberian math. J.
  doi: 10.1007/BF00968624
SSID ssj0001736
Score 1.5260816
SourceID crossref
elsevier
SourceType Enrichment Source
Index Database
Publisher
StartPage 201
SubjectTerms Nondifferentiable mapping
subdifferential – coderivative – Lagrange multiplier rule
Title DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS
URI https://dx.doi.org/10.1016/S0362-546X(96)00046-6
Volume 29
WOSCitedRecordID wos10_1016_S0362_546X_96_00046_6&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals 2021
  customDbUrl:
  eissn: 1873-5215
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0001736
  issn: 0362-546X
  databaseCode: AIEXJ
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Pb9MwFLag4wAHfgwQYwzlwAE0UubGju1jlLa0sCRTW6SKSxQ7jjQJhWktaH_-XhLHycY02IFL1Fp6r1G_Ly_PT8_fQ-hdJpSgnOVuIYl0Cc2ly3N4Hin3MsKoOhopWQ-bYHHM12txYsYqbupxAqws-cWFOPuvUMMagF0dnb0D3NYpLMBnAB2uADtc_wn48XwxCY3EbZhEJ0G4qgZr1GXOMDgOFvPvzaidSlgqTuJllCSr2eESAHGni8l4lhxHh1FQ7fc_L_u5a9yoamRV12WjZGJ5lUyndVdlMBwPuzpCo8HK2jpCd36KknquoI2Nphpx2tuimkBnTHU_7P0RjpvKwNK6hqRZwIqoz6y6N0hgX3s12YbBrhcNXKWVq1RU_XjgJvXvo50Ro4IP0E4wn6y_2DcxZp7fyodVNt0Jrk_dPb0X_gdzPzfnJr18Y_UUPTYbBSdoAH6G7ulyFz0xmwbHhOTNLnrUU5SEb5GV4d08R197XHB6XPjoXGGCA0xwLBOcK0xwWia8QN-mk1U4c830DFdB3N66SnOi_TwrNDlSnsyIkL6EkK011ThTfKR96UH8lkJqLAlTDMNugPuqELTwdeG9RIPyZ6lfIUdoQSBT5R7OMpIrmlGCJZZSYqwoH3l7iLT_W6qMtHw14eRHeitue2hozc4abZW_GfAWlNQkiE3ilwLhbjd9fdff2kcPu6fkDRpsz3_pA_RA_d6ebs7fGqZdAg1ecWA
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=DIRECTIONAL+COMPACTNESS%2C+SCALARIZATION+AND+NONSMOOTH+SEMI-FREDHOLM+MAPPINGS&rft.jtitle=Nonlinear+analysis&rft.au=IOFFE%2C+A.D.&rft.date=1997-07-01&rft.issn=0362-546X&rft.volume=29&rft.issue=2&rft.spage=201&rft.epage=219&rft_id=info:doi/10.1016%2FS0362-546X%2896%2900046-6&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_S0362_546X_96_00046_6
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0362-546X&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0362-546X&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0362-546X&client=summon