Stability Issues in Banach Spaces for Functional Equations

Sanjay Kumar Rai; Dr. Bhupendra

Stability Issues in Banach Spaces for Functional Equations

October 2021

Vol-4, Issue-1

Paper ID: 15492

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

MATHEMATICS

Keywords

Additive Functional Equation Quadratic Functional Equation Hyers-Ulam Stability Quasi-Banach Space P-Banach Space.

Abstract

Certain nonlinear functional equations are examined for Hyers-Ulam-Rassias stability in this research. Numerous mathematical disciplines have taken such stabilities into consideration. For the second time, fuzzy concepts and their many expansions may be found in almost all areas of mathematics. These intuitionistic fuzzy real Banach spaces are created by combining fuzzy Banach space with intuitionistic fuzzy set concepts. According to Hyers-Ulam-Rassias stability, pexiderized quadratic functional equations defined on such spaces are stable. The issue is approached from a solitary vantage point. On the exact same note, we make use of a generxalized concept of contraction mapping.

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Author Information

#	Name	Institute / Affiliation
1	Sanjay Kumar Rai	Research Scholar, Department of Mathematics, of Sri Satya Sai University of Technology & Medical Sciences, Sehore, M.P., India.
2	Dr. Bhupendra	Research Supervisor, Department of Mathematics, of Sri Satya Sai University of Technology & Medical Sciences, Sehore, M.P., India.

How to Cite

Use the following formats to cite this article in your research.

APA Style

Rai, Sanjay Kumar & Bhupendra, Dr. (2021). Stability Issues in Banach Spaces for Functional Equations. International Journal of Advance Research and Innovative Ideas In Education, 4(1), 1601-1606.

MLA Style

Rai, Sanjay Kumar, and Dr. Bhupendra. "Stability Issues in Banach Spaces for Functional Equations." International Journal of Advance Research and Innovative Ideas In Education, vol. 4, no. 1, 2021, pp. 1601-1606.

IEEE Style

Sanjay Kumar Rai and Dr. Bhupendra, "Stability Issues in Banach Spaces for Functional Equations," International Journal of Advance Research and Innovative Ideas In Education, vol. 4, no. 1, pp. 1601-1606, 2021.

Vancouver Style

Rai Sanjay Kumar, Bhupendra Dr.. Stability Issues in Banach Spaces for Functional Equations. International Journal of Advance Research and Innovative Ideas In Education. 2021;4(1):1601-1606.

Harvard Style

Rai, Sanjay Kumar & Bhupendra, Dr. (2021) 'Stability Issues in Banach Spaces for Functional Equations', International Journal of Advance Research and Innovative Ideas In Education, 4(1), pp. 1601-1606.

Chicago Style

Rai, Sanjay Kumar and Dr. Bhupendra. "Stability Issues in Banach Spaces for Functional Equations." International Journal of Advance Research and Innovative Ideas In Education 4, no. 1 (2021): 1601-1606.

Turabian Style

Rai, Sanjay Kumar and Dr. Bhupendra. "Stability Issues in Banach Spaces for Functional Equations." International Journal of Advance Research and Innovative Ideas In Education 4, no. 1 (2021): 1601-1606.