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  • 1
    Electronic Resource
    Electronic Resource
    Covering properties on H-spaces and applications (1993)
    Springer
    Applied mathematics and mechanics 14 (1993), S. 1079-1088 
    Details
    ISSN: 1573-2754
    Keywords: covering property ; H-space ; H-convex ; H-convex hull ; almost fixed point ; lower semi-continuous ; l.c.-space ; simplex ; uniform structure ; lopological vector space ; locally convex space ; contractible
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grünbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02456645
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Intersection theorems concerning noncompact sets with H-convex sections and their applications (1991)
    Springer
    Applied mathematics and mechanics 12 (1991), S. 85-92 
    Details
    ISSN: 1573-2754
    Keywords: H-space ; H-convex ; weaklyH-convex ; continuous selection theorem ; coincidence theorem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, we prove some intersection theorems concerning noncompact sets with H-convex sections which generalize the corresponding results of Ma, Fan, Tarafdar, Lassonde and Shin-Tan to H-spaces without the linear structure and to noncompact setting. An application to von Neumann type minimax theorems is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02018072
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Maximal elements forG B-majorized mappings in productG-convex spaces and applications (II) (1996)
    Springer
    Applied mathematics and mechanics 24 (1996), S. 1017-1024 
    Details
    ISSN: 1573-2754
    Keywords: maximal element ; family ofG B-majorized mappings ; coincidence theorem ; minimax inequalities ; product space ofG-convex space ; O177.92 ; 54H25 ; 49J35 ; 49J53
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces. These theorems improve and generalize many important known results in literature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02437634
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    Paper (German National Licenses)
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