메뉴 건너뛰기




Volumn 131, Issue 1, 2003, Pages 79-99

Coepi maps and generalizations of the Hopf extension theorem

Author keywords

Coepi maps; Coincidence index; Countably condensing operators; Degree theory; Hopf's theorem; Zero epi maps

Indexed keywords


EID: 0037673239     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-8641(02)00285-7     Document Type: Article
Times cited : (5)

References (48)
  • 3
    • 0037580931 scopus 로고    scopus 로고
    • Asymptotic boundary value problems in Banach spaces
    • Preprint, TU München, SFB 438-0101
    • Andres, J. Bader, R. Asymptotic boundary value problems in Banach spaces, Preprint, TU München, SFB 438-0101
    • Andres, J.1    Bader, R.2
  • 5
    • 0038595095 scopus 로고    scopus 로고
    • Coincidence index for noncompact mappings on nonconvex sets
    • to appear
    • Andres, J. Väth, M. Coincidence index for noncompact mappings on nonconvex sets, Nonlinear Funct. Anal. Appl., to appear
    • Nonlinear Funct. Anal. Appl.
    • Andres, J.1    Väth, M.2
  • 7
    • 84972499840 scopus 로고
    • On embedding uniform and topological spaces
    • Arens R.F. Eells J. James On embedding uniform and topological spaces Pacific J. Math. 6 1956 397-403.
    • (1956) Pacific J. Math. , vol.6 , pp. 397-403
    • Arens, R.F.1    Eells, J.2    James, A.3
  • 8
    • 0000113763 scopus 로고
    • Fixed-point index for compositions of set-valued maps with proximaly ∞-connected values on arbitrary ANRs
    • Bader R. Kryszewski W. Fixed-point index for compositions of set-valued maps with proximaly ∞-connected values on arbitrary ANRs Set-Valued Anal. 2 1994 459-480.
    • (1994) Set-Valued Anal. , vol.2 , pp. 459-480
    • Bader, R.1    Kryszewski, W.2
  • 9
    • 0002115987 scopus 로고
    • Topological methods in the fixed-point theory of multi-valued maps
    • in Russian, English translation Russian Math. Surveys 35 1 1980 65-143
    • Borisovich Yu.G. Gel'man B.D. Myshkis A.D. Obukhovski V.V. Topological methods in the fixed-point theory of multi-valued maps Uspekhi Mat. Nauk 35 1 1980 59-126 in Russian, English translation Russian Math. Surveys 35 1 1980 65-143
    • (1980) Uspekhi Mat. Nauk , vol.35 , Issue.1 , pp. 59-126
    • Borisovich, Yu.G.1    Gel'man, B.D.2    Myshkis, A.D.3    Obukhovskiǐ, V.V.4
  • 16
    • 0003360719 scopus 로고
    • Shape Theory-An Introduction
    • Berlin: Springer-Verlag
    • Dydak J. Segal J. Shape Theory-An Introduction Lecture Notes in Math. 688 1978 Springer-Verlag Berlin
    • (1978) Lecture Notes in Math. , vol.688
    • Dydak, J.1    Segal, J.2
  • 17
    • 0003635015 scopus 로고
    • Fixed point index theory for a class of nonacyclic multivalued mappings
    • Warszawa: PWN
    • Dzedzej Z. Fixed point index theory for a class of nonacyclic multivalued mappings Dissertationes Math. (Rozprawy Mat.) 253 1985 PWN Warszawa
    • (1985) Dissertationes Math. (Rozprawy Mat.) , vol.253
    • Dzedzej, Z.1
  • 18
    • 0038595093 scopus 로고
    • A fixed point index for compositions of acyclic multivalued maps in Banach spaces
    • S. P. Singh, V. M. Sehgal, J.H.W. Burry (Eds.), : The MSRI-Korea Publications
    • Fournier G. Violette D. A fixed point index for compositions of acyclic multivalued maps in Banach spaces Singh S.P. Sehgal V.M. Burry J.H.W. (Eds.), Operator Equations and Fixed Point Theorems, Vol. 1 1986 203-224 The MSRI-Korea Publications
    • (1986) Operator Equations and Fixed Point Theorems , vol.1 , pp. 203-224
    • Fournier, G.1    Violette, D.2
  • 19
    • 0000343724 scopus 로고
    • On the solvability of nonlinear operator equations in normed spaces
    • Furi M. Martelli M. Vignoli A. On the solvability of nonlinear operator equations in normed spaces Ann. Mat. Pura Appl. 124 1980 321-343.
    • (1980) Ann. Mat. Pura Appl. , vol.124 , pp. 321-343
    • Furi, M.1    Martelli, M.2    Vignoli, A.3
  • 20
    • 0035581302 scopus 로고    scopus 로고
    • A characterization of 0-epi maps with a degree
    • Giorgieri E. Väth M. A characterization of 0-epi maps with a degree J. Funct. Anal. 187 2001 183-199.
    • (2001) J. Funct. Anal. , vol.187 , pp. 183-199
    • Giorgieri, E.1    Väth, M.2
  • 21
    • 0038381162 scopus 로고
    • Approximating compact sets in normed linear spaces
    • Girolo J. Approximating compact sets in normed linear spaces Pacific J. Math. 98 1982 81-89.
    • (1982) Pacific J. Math. , vol.98 , pp. 81-89
    • Girolo, J.1
  • 23
    • 33646946909 scopus 로고
    • On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
    • Górniewicz L. Granas A. Kryszewski W. On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts J. Math. Anal. Appl. 161 1991 457-473.
    • (1991) J. Math. Anal. Appl. , vol.161 , pp. 457-473
    • Górniewicz, L.1    Granas, A.2    Kryszewski, W.3
  • 25
    • 0000559910 scopus 로고
    • Continuation method for contractive maps
    • Granas A. Continuation method for contractive maps Topology Methods Nonlinear Anal. 3 1994 375-379.
    • (1994) Topology Methods Nonlinear Anal. , vol.3 , pp. 375-379
    • Granas, A.1
  • 26
    • 0003179220 scopus 로고
    • Vektorfelder in n-dimensionalen Mannigfaltigkeiten
    • Hopf H. Vektorfelder in n-dimensionalen Mannigfaltigkeiten Math. Ann. 96 1926 225-250.
    • (1926) Math. Ann. , vol.96 , pp. 225-250
    • Hopf, H.1
  • 27
    • 34250964015 scopus 로고
    • Abbildungsklassen in n-dimensionaler Mannigfaltigkeiten
    • Hopf H. Abbildungsklassen in n-dimensionaler Mannigfaltigkeiten Math. Ann. 97 1927 209-224.
    • (1927) Math. Ann. , vol.97 , pp. 209-224
    • Hopf, H.1
  • 28
    • 34250954754 scopus 로고
    • Zur Topologie der Abbildungen von Mannigfaltigkeiten
    • Hopf H. Zur Topologie der Abbildungen von Mannigfaltigkeiten Math. Ann. 100-102 1929 562-623.
    • (1929) Math. Ann. , vol.100-102 , pp. 562-623
    • Hopf, H.1
  • 31
    • 0013315569 scopus 로고    scopus 로고
    • Condensing multivalued maps and semilinear differential inclusions in Banach spaces
    • submitted
    • Kamenskiǐ, M.I. Obukhovskiǐ, V.V. Zecca, P. Condensing multivalued maps and semilinear differential inclusions in Banach spaces, submitted
    • Kamenskiǐ, M.I.1    Obukhovskiǐ, V.V.2    Zecca, P.3
  • 34
    • 0038256541 scopus 로고
    • Some homotopy classification and extension theorems for the class of compositions of acyclic set-valued maps
    • Kryszewski W. Some homotopy classification and extension theorems for the class of compositions of acyclic set-valued maps Bull. Sci. Math. 119 1995 21-48.
    • (1995) Bull. Sci. Math. , vol.119 , pp. 21-48
    • Kryszewski, W.1
  • 35
    • 0038256538 scopus 로고    scopus 로고
    • The fixed-point index for the class of compositions of acyclic set-valued maps on ANRs
    • Kryszewski W. The fixed-point index for the class of compositions of acyclic set-valued maps on ANRs Bull. Sci. Math. 120 1996 129-151.
    • (1996) Bull. Sci. Math. , vol.120 , pp. 129-151
    • Kryszewski, W.1
  • 37
    • 0038256542 scopus 로고
    • On the topological degree for a class of noncompact multivalued mappings
    • in Russian
    • Obukhovskiǐ V.V. On the topological degree for a class of noncompact multivalued mappings Funktsionalnyi Analiz, Ul'yanovsk 23 1984 82-93 in Russian
    • (1984) Funktsionalnyi Analiz Ul'yanovsk , vol.23 , pp. 82-93
    • Obukhovskǐ, V.V.1
  • 38
    • 0001898552 scopus 로고
    • Limit-compact and condensing operators
    • in Russian, English translation Russian Math. Surveys 27 1 1972 85-155
    • Sadovskiǐ B.N. Limit-compact and condensing operators Uspekhi Mat. Nauk 27 1 1972 81-146 in Russian, English translation Russian Math. Surveys 27 1 1972 85-155
    • (1972) Uspekhi Mat. Nauk , vol.27 , Issue.1 , pp. 81-146
    • Sadovskiǐ, B.N.1
  • 39
    • 84972519722 scopus 로고
    • Fixed point index and chain approximations
    • Siegberg H.W. Skordev G. Fixed point index and chain approximations Pacific J. Math. 102 1982 455-486.
    • (1982) Pacific J. Math. , vol.102 , pp. 455-486
    • Siegberg, H.W.1    Skordev, G.2
  • 41
    • 84974398942 scopus 로고
    • On the solvability of nonlinear, noncompact operator equations
    • Tarafdar E.U. Thompson H.B. On the solvability of nonlinear, noncompact operator equations J. Austral. Math. Soc. Ser. A 43 1987 103-126.
    • (1987) J. Austral. Math. Soc. Ser. A , vol.43 , pp. 103-126
    • Tarafdar, E.U.1    Thompson, H.B.2
  • 42
    • 0000587038 scopus 로고    scopus 로고
    • Fixed point theorems and fixed point index for countably condensing maps
    • Väth M. Fixed point theorems and fixed point index for countably condensing maps Topology Methods Nonlinear Anal. 13 2 1999 341-363.
    • (1999) Topology Methods Nonlinear Anal. , vol.13 , Issue.2 , pp. 341-363
    • Väth, M.1
  • 43
    • 0001054887 scopus 로고    scopus 로고
    • An axiomatic approach to a coincidence index for noncompact function pairs
    • Väth M. An axiomatic approach to a coincidence index for noncompact function pairs Topology Methods Nonlinear Anal. 16 2 2000 307-338.
    • (2000) Topology Methods Nonlinear Anal. , vol.16 , Issue.2 , pp. 307-338
    • Väth, M.1
  • 44
    • 0000348858 scopus 로고    scopus 로고
    • On the connection of degree theory and 0-epi maps
    • Väth M. On the connection of degree theory and 0-epi maps J. Math. Anal. Appl. 257 2001 223-237.
    • (2001) J. Math. Anal. Appl. , vol.257 , pp. 223-237
    • Väth, M.1
  • 45
    • 0036015102 scopus 로고    scopus 로고
    • Coincidence points of function pairs based on compactness properties
    • Väth M. Coincidence points of function pairs based on compactness properties Glasgow Math. J. 44 2 2002 209-230
    • (2002) Glasgow Math. J. , vol.44 , Issue.2 , pp. 209-230
    • Väth, M.1
  • 46
    • 0037580934 scopus 로고    scopus 로고
    • Un indice de point fixe pour les composées de fonctions multivoques acycliques dans des espaces de Banach
    • Violette D. Fournier G. Un indice de point fixe pour les composées de fonctions multivoques acycliques dans des espaces de Banach Ann. Sci. Math. Québec 22 2 1998 225-244
    • (1998) Ann. Sci. Math. Québec , vol.22 , Issue.2 , pp. 225-244
    • Violette, D.1    Fournier, G.2
  • 48
    • 0011827454 scopus 로고    scopus 로고
    • On a topological degree for Vietoris type multimaps in locally convex spaces
    • VGU Voronezh in Russian
    • Zelikova, V.V. On a topological degree for Vietoris type multimaps in locally convex spaces, Sb. Stat. Asp. Stud. Mat. Fak. VGU, Voronezh, 1999, pp. 45-51, in Russian
    • (1999) Sb. Stat. Asp. Stud. Mat. Fak. , pp. 45-51
    • Zelikova, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.