Research Article

Fixed Points Of Mappings On The Fuzzy Reflexive Spaces

Volume: 28 Number: 4 December 16, 2015
EN

Fixed Points Of Mappings On The Fuzzy Reflexive Spaces

Abstract

In this paper we first define the new notion of fuzzy uniform normal structure. Moreover, it is proved that the spectrum of the category of fuzzy reexive spaces is broader than the category of the spaces has fuzzy normal structure. Also, we introduce the notions of FNST, FNSTN  and we prove the theorems of the fixed points of some classes of mappings on the sets from the fuzzy reflexive space, which have some of the properties FNST, FNSTN.

 

Keywords

References

  1. Bag, T., “Some fundamental theorems in Felbin’s type fuzzy normed linear spaces”, International Journal of Mathematics and Scientific Computing, 1 (2): 44-49, (2011).
  2. Bag, T. and Samanta, S. K., “Fixed point theorems in Felbin’s type fuzzy normed linear spaces” , J. Fuzzy Math. , 16 (1): 243-260, (2008).
  3. Bag, T. and Samanta, S. K., “Fixed point theorems in fuzzy normed linear spaces”, Information Sciences, 176: 2910-2931, (2006).
  4. Bag, T. and Samanta, S. K., “fuzzy bounded linear operators in Felbin’s type fuzzy normed linear spaces”, Fuzzy Sets and Systems 159: 685-707, (2008).
  5. Bag, T. and Samanta, S K., “Fuzzy reflexivity of Felbin’s type fuzzy normed linear spaces and fixed point theorems in such spaces” , Iranian Journal of Fuzzy Systems, 8 (5): 103-115, (2011).
  6. Baillon, J. B. and Schoneberg, R.,“ Asymptotic normal structure and fixed points of nonexpansive mappings”, Proc. Am. Math. Soc., 81: 257-264, (1981).
  7. Felbin, C.,“Finite dimensional fuzzy normed linear space”, Fuzzy Sets and Systems, 48: 239-248, (1992).
  8. Hasankhani, A., Nazari, A. and Saheli, M.,“ Some properties of fuzzy Hilbert spaces and norm of operators”, Iranian Journal of Fuzzy Systems, 7 (3): 129-157, (2010).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 16, 2015

Submission Date

May 18, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 28 Number: 4

APA
Daraby, B., & Solimani, Z. (2015). Fixed Points Of Mappings On The Fuzzy Reflexive Spaces. Gazi University Journal of Science, 28(4), 729-735. https://izlik.org/JA96LR85GK
AMA
1.Daraby B, Solimani Z. Fixed Points Of Mappings On The Fuzzy Reflexive Spaces. Gazi University Journal of Science. 2015;28(4):729-735. https://izlik.org/JA96LR85GK
Chicago
Daraby, Bayaz, and Z. Solimani. 2015. “Fixed Points Of Mappings On The Fuzzy Reflexive Spaces”. Gazi University Journal of Science 28 (4): 729-35. https://izlik.org/JA96LR85GK.
EndNote
Daraby B, Solimani Z (December 1, 2015) Fixed Points Of Mappings On The Fuzzy Reflexive Spaces. Gazi University Journal of Science 28 4 729–735.
IEEE
[1]B. Daraby and Z. Solimani, “Fixed Points Of Mappings On The Fuzzy Reflexive Spaces”, Gazi University Journal of Science, vol. 28, no. 4, pp. 729–735, Dec. 2015, [Online]. Available: https://izlik.org/JA96LR85GK
ISNAD
Daraby, Bayaz - Solimani, Z. “Fixed Points Of Mappings On The Fuzzy Reflexive Spaces”. Gazi University Journal of Science 28/4 (December 1, 2015): 729-735. https://izlik.org/JA96LR85GK.
JAMA
1.Daraby B, Solimani Z. Fixed Points Of Mappings On The Fuzzy Reflexive Spaces. Gazi University Journal of Science. 2015;28:729–735.
MLA
Daraby, Bayaz, and Z. Solimani. “Fixed Points Of Mappings On The Fuzzy Reflexive Spaces”. Gazi University Journal of Science, vol. 28, no. 4, Dec. 2015, pp. 729-35, https://izlik.org/JA96LR85GK.
Vancouver
1.Bayaz Daraby, Z. Solimani. Fixed Points Of Mappings On The Fuzzy Reflexive Spaces. Gazi University Journal of Science [Internet]. 2015 Dec. 1;28(4):729-35. Available from: https://izlik.org/JA96LR85GK