Stability of cubic and quartic rho-functional inequalities in fuzzy normed spaces

- Title
- Stability of cubic and quartic rho-functional inequalities in fuzzy normed spaces

- Author
- 박춘길

- Keywords
- fuzzy Banach space; cubic rho-functional inequality; quartic rho-functional inequality; Hyers-Ulam stability

- Issue Date
- 2016-07

- Publisher
- INT SCIENTIFIC RESEARCH PUBLICATIONS

- Citation
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS (2016), v. 9, NO. 4, Page. 1693-1701

- Abstract
- In this paper, we solve the following cubic rho-functional inequality N(f (2x + y) + f (2x y) - 2f (x + y) 2 f (x y) 12 f (x) (1) - rho (4f (x + y/2) + 4f (x - y/2) - f(x + y) - f(x - y) - 6f (x)),t) >= t/t + phi(x, y) and the following quartic rho-functional inequality N(f (2x + y) + f (2x y) 4f (x + y) 4f (x y) - 24 f (x) + 6f (y) (2) -rho(8f (x + + 8f (x 2 f (x + y) 2 f (x y) 12 f (x) + 3 f (y)),t) >= t/t + phi(x, y) in fuzzy normed spaces, where rho is a fixed real number with rho not equal 2. Using the direct method, we prove the Hyers-Ulam stability of the cubic rho-functional inequality (1) and the quartic rho-functional inequality (2) in fuzzy Banach spaces. (C) 2016 All rights reserved.

- URI
- http://www.isr-publications.com/jnsa/articles-2233-stability-of-cubic-and-quartic-rho-functional-inequalities-in-fuzzy-normed-spaceshttps://repository.hanyang.ac.kr/handle/20.500.11754/74556

- ISSN
- 2008-1898; 2008-1901

- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles

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