• 제목/요약/키워드: continuous mapping

검색결과 258건 처리시간 0.024초

P-I-OPEN MAPPINGS, P-I-CONTINUOUS MAPPINGS AND P-I-IRRESOLUTE MAPPINGS

  • Kim, Ji-Yoon;Kim, Chang-Su
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권4호
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    • pp.383-404
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    • 2009
  • The notions of P-I-open (closed) mappings, P-I-continuous mappings, P-I-neighborhoods, P-I-irresolute mappings and I-irresolute mappings are introduced. Relations between P-I-open (closed) mappings and I-open (closed) mappings are given. Characterizations of P-I-open (closed) mappings are provided. Relations between a P-I-continuous mapping and an I-continuous mapping are discussed, and characterizations of a P-I-continuous mapping are considered. Conditions for a mapping to be an I-irresolute mapping (resp. P-I-irresolute mapping) are provided.

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WEAK CONVERGENCE THEOREMS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, MONOTONE MAPPINGS AND PSEUDOCONTRACTIVE MAPPINGS

  • JUNG, JONG SOO
    • 대한수학회지
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    • 제52권6호
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    • pp.1179-1194
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    • 2015
  • In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a generalized mixed equilibrium problem related to a continuous monotone mapping, the set of solutions of a variational inequality problem for a continuous monotone mapping, and the set of fixed points of a continuous pseudocontractive mapping in Hilbert spaces. Weak convergence for the proposed iterative algorithm is proved. Our results improve and extend some recent results in the literature.

Interval-Valued Fuzzy Almost M-Continuous Mapping On Interval-Valued Fuzzy Topological Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권2호
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    • pp.142-145
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    • 2010
  • We introduce the concept of IVF almost M-continuity and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces. We study the relationships between IVF almost M-continuous mapping and IVF compactness.

CONTINUITY OF AN APPROXIMATE JORDAN MAPPING

  • Lee, Young-Whan
    • 대한수학회논문집
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    • 제20권3호
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    • pp.505-509
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    • 2005
  • We show that every $\varepsilon-approximate$ Jordan functional on a Banach algebra A is continuous. From this result we obtain that every $\varepsilon-approximate$ Jordan mapping from A into a continuous function space C(S) is continuous and it's norm less than or equal $1+\varepsilon$ where S is a compact Hausdorff space. This is a generalization of Jarosz's result [3, Proposition 5.5].

FUZZY PAIRWISE STRONG PRE-IRRESOLUTE CONTINUOUS MAPPINGS

  • Lee, Hyo-Sam;Lee, Joo-Sung;Im, Young-Bin
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1561-1571
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    • 2010
  • We define and characterize a fuzzy pairwise strong pre-irresolute continuous mapping and a fuzzy pairwise strong pre-irresolute open mapping on a fuzzy bitopological space.