Some aspects of 2-fuzzy 2-metric projection operator of 2-fuzzy 2-Banach spaces

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DOI:

https://doi.org/10.26637/MJM0803/0048

Abstract

In this paper, continuous homogeneous selection and continuity for the set valued 2-fuzzy 2-generalized inverse in 3 -strictly 2-fuzzy 2-convex space are investigated using fuzzy continuity of metric projection. Hence approximative compactness of 2-fuzzy 2-Banach space is not necessary for the 2-fuzzy 2-upper semi continuity of the set valued 2-fuzzy 2-metric generalized inverse.

Keywords:

2-fuzzy 2-H-Property, 2-fuzzy 2-Continuous Selections, 2-fuzzy 2-Chebyshev Subspace, 2-fuzzy 2-Metric Generalized Inverse

Mathematics Subject Classification:

Mathematics
  • Thangaraj Beaula PG and Research Department of Mathematics T.B.M.L. College,(Affiliated to Bharathidasan University,Trichy), Porayar, Tamil Nadu, India.
  • R. Abirami PG and Research Department of Mathematics T.B.M.L. College,(Affiliated to Bharathidasan University,Trichy), Porayar, Tamil Nadu, India.
  • Pages: 1012-1021
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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Published

01-07-2020

How to Cite

Thangaraj Beaula, and R. Abirami. “Some Aspects of 2-Fuzzy 2-Metric Projection Operator of 2-Fuzzy 2-Banach Spaces”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1012-21, doi:10.26637/MJM0803/0048.