• 제목/요약/키워드: convex normed vector space

검색결과 2건 처리시간 0.018초

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

  • Lee, Byung-Soo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제20권1호
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    • pp.51-57
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    • 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.

Some existence theorems for generalized vector variational inequalities

  • Lee, Gue-Myung;Kim, Do-Sang;Lee, Byung-Soo
    • 대한수학회보
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    • 제32권2호
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    • pp.343-348
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    • 1995
  • Let X and Y be two normed spaces and D a nonempty convex subset of X. Let $T : X \ to L(X,Y)$ be a mapping, where L(X,Y) is the space of all continuous linear mappings from X into Y. And let $C : D \to 2^Y$ be a set-valued map such that for each $x \in D$, C(x) is a convex cone in Y such that Int $C(x) \neq 0 and C(x) \neq Y$, where Int denotes the interior.

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