Fuzzy boundedness and contractiveness on intuitionistic 2-fuzzy 2-normed linear space

Downloads

DOI:

https://doi.org/10.26637/mjm103/010

Abstract

The concepts of fuzzy boundedness, fuzzy continuity and intuitionistic fuzzy 2- contractive mapping on intutionistic 2-fuzzy 2-normed linear space are introduced. Using these concepts some theorems are proved.

Keywords:

Intuitionistic 2-fuzzy 2-normed linear space, convergent and Cauchy sequences, intuitionistic 2-fuzzy 2-Banach space

Mathematics Subject Classification:

46B20, 46B99, 46A19, 46A99, 47H10
  • Pages: 64-72
  • Date Published: 01-07-2013
  • Vol. 1 No. 03 (2013): Malaya Journal of Matematik (MJM)

T. Bag and S.K. Samanta, Finite dimensional fuzzy normed linear space, J. Fuzzy Math., 11(3)(2003), 687-705.

S. Gahler, Lineare 2 - normierte Raume, Math. Nachr., 28(1964), 1-43. DOI: https://doi.org/10.1002/mana.19640280102

Jialu Zhang, The continuity and Boundedness of Fuzzy linear operators in Fuzzy normed space, J. Fuzzy Math., 13(2005), 519-536.

A.R. Meenakshi and R. Cokilavany, On fuzzy 2- normed linear spaces, J. Fuzzy Math., 9(2)(2001), 345- 351.

R. Saadati and S.M. Vaezpour, Some results on Fuzzy Banach spaces, J. Appl. Math and Comput., 17(12)(2005), 475-484. DOI: https://doi.org/10.1007/BF02936069

R.M. Somasundaram and Thangaraj Beaula, Some Aspects of 2-Fuzzy 2-Normed Linear Spaces, Bulletin of Malaysian Mathematical Society, 32(2)(2009), 211-222.

Thangaraj Beaula and Lilly Esthar Rani Some Aspects of Intuitionistic 2-Fuzzy 2-Normed Linear Spaces, J. Fuzzy Math., 20(2)(2012), 371-378. DOI: https://doi.org/10.26637/mjm103/010

A. White , 2-Banach spaces, Math. Nachr., 42(1969), 43-60. DOI: https://doi.org/10.1002/mana.19690420104

A. Zadeh, Fuzzy sets, Inform and control, 8(1965), 338-353. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X

  • NA

Metrics

Metrics Loading ...

Published

01-07-2013

How to Cite

Thangaraj Beaula, and Lilly Esthar Rani. “Fuzzy Boundedness and Contractiveness on Intuitionistic 2-Fuzzy 2-Normed Linear Space”. Malaya Journal of Matematik, vol. 1, no. 03, July 2013, pp. 64-72, doi:10.26637/mjm103/010.