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Common fixed point theorem in fuzzy metric space using control function

Amit Kumar|Ramesh Kumar Vats
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회논문집 (Communications of the KMS)|제28권 제3호|pp. 517-526

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참고문헌

키워드

common fixed pointfuzzy contractive mappingcomplete fuzzy metric space
주제분류수학

초록

We give a fixed point theorem for complete fuzzy metric spacewhich generalizes fuzzy Banach contraction theorems established by V. Gregori and A. Spena [Fuzzy Sets and Systems 125 (2002), 245–252]using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1–9] in metric spaces.

Abstract

We give a fixed point theorem for complete fuzzy metric spacewhich generalizes fuzzy Banach contraction theorems established by V. Gregori and A. Spena [Fuzzy Sets and Systems 125 (2002), 245–252]using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1–9] in metric spaces.

참고문헌 (16)

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  11. M. S. Khan, "Fixed point theorems by altering distances between the points", Bull. Austral. Math. Soc, 30(1), pp.1~9 (1984)
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