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

Thangaraj Beaula; Lilly Esthar Rani

doi: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

Authors Imprint References Funding Related Articles Downloads

Thangaraj Beaula Department of Mathematics, TBML College, Porayar, Tamil Nadu, India.
Lilly Esthar Rani Department of Mathematics, TBML College, Porayar, Tamil Nadu, India.

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