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Volumn 13, Issue 2, 2012, Pages 641-650

Ulam-hyers stability of operatorial inclusions in complete gauge spaces

Author keywords

C weakly picard operator; Fixed point; Integral inclusion; Multivalued operator; Ulam hyers stability; Weakly picard operator

Indexed keywords


EID: 84870012919     PISSN: 15835022     EISSN: 20669208     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 0002087697 scopus 로고
    • Fixed point theorems in uniform spaces and applications
    • V.G. Angelov, Fixed point theorems in uniform spaces and applications, Czehoslovak Math. J., 37(112)(1987), 19-33.
    • (1987) Czehoslovak Math. J , vol.37 , Issue.112 , pp. 19-33
    • Angelov, V.G.1
  • 2
    • 77954199138 scopus 로고    scopus 로고
    • Fixed points of multi-valued mappingsin uniform spaces
    • V.G. Angelov, Fixed points of multi-valued mappingsin uniform spaces, Math. Balkanica, 12(1998), no. 1-2, 29-35.
    • (1998) Math. Balkanica , vol.12 , Issue.1-2 , pp. 29-35
    • Angelov, V.G.1
  • 4
    • 84972567860 scopus 로고
    • Fixed points and stability for a sum of two operators in locally convex spaces
    • G.L. Cain, Jr., M.Z. Nashed, Fixed points and stability for a sum of two operators in locally convex spaces, Pacific J. Math., 39(1971), 581-592.
    • (1971) Pacific J. Math , vol.39 , pp. 581-592
    • Cain, G.L.1    Nashed, M.Z.2
  • 5
    • 84865456321 scopus 로고    scopus 로고
    • Ulam-Hyers stability for operatorial equations and inclusions
    • DOI: 10.2478/v10157-011-0003-6
    • M.F. Bota-Boriceanu, A. Petruşel, Ulam-Hyers stability for operatorial equations and inclusions, Analele Univ. I. Cuza Iasi, 57(2011), DOI: 10.2478/v10157-011-0003-6.
    • (2011) Analele Univ. I. Cuza Iasi , vol.57
    • Bota-Boriceanu, M.F.1    Petruşel, A.2
  • 6
    • 65549156647 scopus 로고    scopus 로고
    • Hyers-Ulam-Rassias stability for a class of Volterra integral equations, Banach
    • L.P. Castro, A. Ramos, Hyers-Ulam-Rassias stability for a class of Volterra integral equations, Banach J. Math. Anal., 3(2009), no. 1, 36-43.
    • (2009) J. Math. Anal , vol.3 , Issue.1 , pp. 36-43
    • Castro, L.P.1    Ramos, A.2
  • 7
    • 57449085603 scopus 로고
    • On a fixed point theorem in complete uniform spaces
    • I. Colojoarǎ, On a fixed point theorem in complete uniform spaces, Com. Acad. RPR., 11(1961), 281-283.
    • (1961) Com. Acad. RPR , vol.11 , pp. 281-283
    • Colojoarǎ, I.1
  • 8
    • 0003535772 scopus 로고
    • Allyn & Bacon, Boston
    • J. Dugundji, Topology, Allyn & Bacon, Boston, 1966.
    • (1966) Topology
    • Dugundji, J.1
  • 9
    • 22944447775 scopus 로고    scopus 로고
    • Existence and data dependence of fixed points for multivalued operators on gauge spaces
    • R. Espinola, A. Petruşel, Existence and data dependence of fixed points for multivalued operators on gauge spaces, J. Math. Anal. Appl., 309(2005), 420-432.
    • (2005) J. Math. Anal. Appl , vol.309 , pp. 420-432
    • Espinola, R.1    Petruşel, A.2
  • 10
    • 23044523457 scopus 로고    scopus 로고
    • Fixed point results for generelized contractions in gauge spaces and applications
    • M. Frigon, Fixed point results for generelized contractions in gauge spaces and applications, Proc. Amer. Math. Soc., 128(2000), 2957-2965.
    • (2000) Proc. Amer. Math. Soc , vol.128 , pp. 2957-2965
    • Frigon, M.1
  • 11
    • 69349083008 scopus 로고    scopus 로고
    • Fixed point and continuation results for contractions in metric and gauge spaces
    • M. Frigon, Fixed point and continuation results for contractions in metric and gauge spaces, Banach Center Publications, 77(2007), 89-114.
    • (2007) Banach Center Publications , vol.77 , pp. 89-114
    • Frigon, M.1
  • 12
    • 34547583092 scopus 로고
    • Contraction theorem in uniform spaces
    • Romanian)
    • N. Gheorghiu, Contraction theorem in uniform spaces, Stud. Cerc. Mat., 19(1967), 119-122 (Romanian).
    • (1967) Stud. Cerc. Mat , vol.19 , pp. 119-122
    • Gheorghiu, N.1
  • 14
    • 33745974937 scopus 로고
    • Fixed points of uniform spaces
    • R.J. Knill, Fixed points of uniform spaces, J. Math. Anal. Appl., 12(1965), 449-455.
    • (1965) J. Math. Anal. Appl , vol.12 , pp. 449-455
    • Knill, R.J.1
  • 15
    • 84870019006 scopus 로고
    • Spaţii vectoriale topologice şi pseudotopologice (Topological and pseudo-topological vector spaces)
    • Ed. Academiei RPR, Bucharest
    • G. Marinescu, Spaţii vectoriale topologice şi pseudotopologice (Topological and pseudo-topological vector spaces), Biblioteca Matematicǎ, vol. IV, Ed. Academiei RPR, Bucharest, 1959.
    • (1959) Biblioteca Matematicǎ , vol.4
    • Marinescu, G.1
  • 16
    • 84870009814 scopus 로고    scopus 로고
    • Fixed point results forćirić type contractions on a set with two separating gauge structures
    • D. O'Regan, A. Petruşel, T.P. Petru, Fixed point results forćirić type contractions on a set with two separating gauge structures, Sci. Math. Jap., 21(2008), 503-512.
    • (2008) Sci. Math. Jap , vol.21 , pp. 503-512
    • O'Regan, D.1    Petruşel, T.P.2    Petru, A.3
  • 17
    • 77954193397 scopus 로고    scopus 로고
    • Fixed point results for -contractions on a set with two separating gauge structures
    • T.P. Petru, Fixed point results for -contractions on a set with two separating gauge structures, Anal. Ştiinţ. Univ. "Ovidius" Constanţa Ser. Math., 18(2010), 263-286.
    • (2010) Anal. Ştiinţ. Univ. "Ovidius" Constanţa Ser. Math , vol.18 , pp. 263-286
    • Petru, T.P.1
  • 18
    • 80053357290 scopus 로고    scopus 로고
    • Ulam-Hyers stability for operatorial equations and inclusions via nonself operators
    • T.P. Petru, A. Petruşel. J.-C. Yao, Ulam-Hyers stability for operatorial equations and inclusions via nonself operators, Taiwanese J. Math., 15(2011), No. 5, 2169-2193.
    • (2011) Taiwanese J. Math , vol.15 , Issue.5 , pp. 2169-2193
    • Petru, T.P.1    Petruşel, J.-C.2    Yao, A.3
  • 19
    • 22944485170 scopus 로고    scopus 로고
    • Multivalued weakly Picard operators and applications
    • A. Petruşel, Multivalued weakly Picard operators and applications, Sci. Math. Jpn., 59(2004), 169-202.
    • (2004) Sci. Math. Jpn , vol.59 , pp. 169-202
    • Petruşel, A.1
  • 20
    • 70350656335 scopus 로고    scopus 로고
    • Remarks on Ulam stability of the operatorial equations
    • I.A. Rus, Remarks on Ulam stability of the operatorial equations, Fixed Point Theory, 10(2009), No. 2, 305-320.
    • (2009) Fixed Point Theory , vol.10 , Issue.2 , pp. 305-320
    • Rus, I.A.1
  • 21
    • 33644542300 scopus 로고    scopus 로고
    • Picard operators and applications
    • I.A. Rus, Picard operators and applications, Sci. Math. Jpn., 58(2003), 191-219.
    • (2003) Sci. Math. Jpn , vol.58 , pp. 191-219
    • Rus, I.A.1
  • 22
    • 70350639689 scopus 로고    scopus 로고
    • The theory of a metrical fixed point theorem: Theoretical and applicative relevances
    • I.A. Rus, The theory of a metrical fixed point theorem: theoretical and applicative relevances, Fixed Point Theory, 9(2008), 541-559.
    • (2008) Fixed Point Theory , vol.9 , pp. 541-559
    • Rus, I.A.1
  • 23
    • 70350648459 scopus 로고    scopus 로고
    • Ulam stability of ordinary differential equations
    • I.A. Rus, Ulam stability of ordinary differential equations, Stud. Univ. Babeş-Bolyai Math., 54(2009), 125-133.
    • (2009) Stud. Univ. Babeş-Bolyai Math , vol.54 , pp. 125-133
    • Rus, I.A.1
  • 25
    • 0037333979 scopus 로고    scopus 로고
    • Data dependence of the fixed points set of some multivalued weakly Picard operators
    • I.A. Rus, A. Petruşel, A. Sîntǎmǎrian, Data dependence of the fixed points set of some multivalued weakly Picard operators, Nonlinear Anal., 52(2003), 1947-1959.
    • (2003) Nonlinear Anal , vol.52 , pp. 1947-1959
    • Rus, I.A.1    Petruşel A.Sîntǎmǎrian, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.