On the stability of some functional equations in Menger φ-normed spaces
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AbstractRecently, the authors [MIHEŢ, D.—SAADATI, R.—VAEZPOUR, S. M.: The stability of an additive functional equation in Menger probabilistic φ-normed spaces, Math. Slovaca 61 (2011), 817–826] considered the stability of an additive functional in Menger φ-normed spaces. In this paper, we establish some stability results concerning the cubic, quadratic and quartic functional equations in complete Menger φ-normed spaces via fixed point theory.
2012 ◽
Vol 25
(2)
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pp. 201-215
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2017 ◽
Vol 10
(05)
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pp. 2402-2407
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2013 ◽
Vol 7
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pp. 2413-2428
2013 ◽
Vol 59
(2)
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pp. 299-320