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Alecsa, Cristian. (1398). Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations. هنرهای کاربردی, 10(2), 227-254. doi: 10.22075/ijnaa.2019.18884.2040
Cristian Alecsa. "Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations". هنرهای کاربردی, 10, 2, 1398, 227-254. doi: 10.22075/ijnaa.2019.18884.2040
Alecsa, Cristian. (1398). 'Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations', هنرهای کاربردی, 10(2), pp. 227-254. doi: 10.22075/ijnaa.2019.18884.2040
Alecsa, Cristian. Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations. هنرهای کاربردی, 1398; 10(2): 227-254. doi: 10.22075/ijnaa.2019.18884.2040

Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations

International Journal of Nonlinear Analysis and Applications
مقاله 50، دوره 10، شماره 2، اسفند 2019، صفحه 227-254    اصل مقاله (491.89 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.18884.2040
نویسنده
Cristian Alecsa*
Tiberiu Popoviciu Institute of Romanian Academy, Cluj-Napoca, Romania
تاریخ دریافت: 15 مهر 1398،  تاریخ بازنگری: 10 آذر 1398،  تاریخ پذیرش: 18 آذر 1398 
چکیده
It is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are not equivalent to those in usual metric spaces (see [3] and [10]). In this framework, the novelty of the present paper represents the development of some fixed point results regarding sequences of contractions in the setting of cone metric spaces over Banach algebras. Furthermore, some examples are given in order to strengthen our new concepts. Also, based on the powerful notion of a cone metric space over a Banach algebra, we present important applications to systems of differential equations and coupled functional equations, respectively, that are linked to the concept of sequences of contractions.
کلیدواژه‌ها
Banach algebras؛ (G)-convergence؛ (H)-convergence؛ differential equations؛ fixed points؛ sequences of contractions
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