• 제목/요약/키워드: Convex space

검색결과 407건 처리시간 0.022초

APPROXIMATING COMMON FIXED POINTS OF A SEQUENCE OF ASYMPTOTICALLY QUASI-f-g-NONEXPANSIVE MAPPINGS IN CONVEX NORMED VECTOR SPACES

  • Lee, Byung-Soo
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제20권1호
    • /
    • pp.51-57
    • /
    • 2013
  • In this paper, we introduce asymptotically quasi-$f-g$-nonexpansive mappings in convex normed vector spaces and consider approximating common fixed points of a sequence of asymptotically quasi-$f-g$-nonexpansive mappings in convex normed vector spaces.

A HAHN-BANACH EXTENSION THEOREM FOR ENTIRE FUNCTIONS OF NUCLEAR TYPE

  • Nishihara, Masaru
    • 대한수학회지
    • /
    • 제41권1호
    • /
    • pp.131-143
    • /
    • 2004
  • Let Ε and F be locally convex spaces over C. We assume that Ε is a nuclear space and F is a Banach space. Let f be a holomorphic mapping from Ε into F. Then we show that f is of uniformly bounded type if and only if, for an arbitrary locally convex space G containing Ε as a closed subspace, f can be extended to a holomorphic mapping from G into F.

FIXED POINTS OF NONEXPANSIVE MAPS ON LOCALLY CONVEX SPACES

  • Ling, Joseph M.
    • 대한수학회보
    • /
    • 제37권1호
    • /
    • pp.21-36
    • /
    • 2000
  • In this article we study the relation between subinvariant submean and normal structure in a locally convex topological vector space. This extends in a natural way a result obtained recently by Lau and Takahashi. Our approach also follows closely theirs.

  • PDF