فهرست مطالب
Journal of Mathematical Analysis and its Contemporary Applications
Volume:1 Issue: 1, Winter 2019
- تاریخ انتشار: 1398/10/09
- تعداد عناوین: 4
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Pages 1-43In this paper, we introduce and examine the generalized Ulam-Hyers stability of fixed Euler-Lagrange k-Cubic-Quartic functional Equationf(x+ky) + f(kx+y) + f(x-ky) + f(y-kx) = k2[2f(x+y) + f(x-y) + f(y-x)] + 2(k4-1) [f(x) + f(y)] +k2/4(k2-1) [f(2x) + f(2y)]where k is a real number with k ≠ 0, ±1 in various Banach spaces with the help of two different methods.Keywords: cubic functional equation, quartic functional equations, mixed type functional equations, Generalized Hyers-Ulam stability, Banach space, Quasi-Beta Banach space, Fuzzy Banach space
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Pages 44-49Let A be a Banach algebra and X be a Banach A-bimodule. In this paper we investigate the stability of the cosine type functional equation φ(ab,a·y+x·b)=φ(ab,x·b-a·y)=2φ(a,x)φ(b,y),on module extension Banach algebra U=A+X.Keywords: Stability, Cosine functional equations, multiplicative function
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Pages 50-61This research tends to focus on proving the results of coupled fixed point in partially ordered cone metric spaces by imposing some condition on a self-mapping and a sequence of mappings via $alpha$-series. The $alpha$-series are wider than the convergent series. Furthermore, an example is provided to illustrate the results.Keywords: Cone metric space, $alpha$-series, coupled fixed point, Coupled coincidence point, compatible, reciprocally continuous
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Pages 62-66In this paper, we prove Cohen's factorization theorem for ternary Banach algebras.Keywords: approximate identity, approximating set, ternary Banach algebra