• Title/Summary/Keyword: fuzzy mappings

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FIXED POINT THEOREMS FOR ASYMPTOTICALLY REGULAR MAPPINGS IN FUZZY METRIC SPACES

  • Goswami, Nilakshi;Patir, Bijoy
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.861-877
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    • 2019
  • The aim of this paper is to extend some existing fixed point results for asymptotically regular mappings to fuzzy metric spaces. For this purpose some contractive type conditions with respect to an altering distance function are used. Some new common fixed point results have been derived for such mappings. We provide suitable examples to justify our study.

Interval-Valued Fuzzy Almost α-Continuous Mappings (Interval-Valued Fuzzy Almost α-연속 함수의 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.4
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    • pp.525-529
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    • 2011
  • We introduce the concept of IVF almost ${\alpha}$-continuity and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces. We study the relationships between IVF almost ${\alpha}$-continuous mappings and another types of IVF continuous mappings.

On Interval-Valued Fuzzy Weakly m*-continuous Mappings on Interval-Valued Fuzzy Minimal Spaces

  • Min, Won-Keun;Kim, Myeong-Hwan
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.2
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    • pp.133-136
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    • 2009
  • In this paper, we introduce the concept of IVF weakly $m^*$-continuous mappings on between IVF minimal spaces and investigate some characterizations for such mappings. Also we study the relationships IVF weakly $m^*$-continuous mappings and IVF M-compactness.

ON FUZZY QUASI-CONTINUOUS MAPPINGS

  • Park, Jin-Han;Park, Jin-Keun;Son, Mi-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.8
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    • pp.760-763
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    • 2001
  • The aim of this paper is to continue the study of fuzzy quasi-continuous mappings due to Park et al [12] on fuzzy bitopological spaces.

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FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE FUZZY MAPPINGS

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.433-440
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    • 2002
  • In this paper, we first prove the existence of fixed points for fuzzy mappings that satisfy a certain contractive condition. Also, we give a fixed point theorem for generalized contractive fuzzy mapping by using Caristi's by fixed point theorem.

COMMON FIXED POINT IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;TIWARI JAYESH K.
    • The Pure and Applied Mathematics
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    • v.12 no.1
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    • pp.17-31
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    • 2005
  • In this paper we prove common fixed point theorems for three mappings under the condition of weak compatible mappings, without taking any function continuous in fuzzy metric space and then extend this result to fuzzy 2-metric space and fuzzy 3-metric space.

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FIXED POINT THEOREMS FOR FUZZY MAPPINGS

  • CHO SEONG-HOON
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.485-492
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    • 2005
  • In this paper, we obtain some common fixed point theorems for fuzzy mappings in complete metric linear spaces.

On fuzzy pairwise irresolute mappings

  • Im, Young-Bin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.5
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    • pp.513-516
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    • 1999
  • In this paper we further investigate some proterties of fuzzy pairwise irresolute mappings of fuzzy bitopological spaces.

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