Results 91 to 100 of about 3,123 (248)
On Generalized Hyers-Ulam Stability of Admissible Functions
Abstract and Applied Analysis, 2012 We consider the Hyers-Ulam stability for the following fractional differential equations in sense of Srivastava-Owa fractional operators (derivative and integral) defined in the unit disk: Dzβf(z)=G(f(z),Dzαf(z),zf'(z);z ...
Rabha W. Ibrahim
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On the Existence of A Unique Solution for Nonlinear Ordinary Differential Equations of Order m
مجلة المختار للعلوم, 2015 In this work I state and prove a theorem for local existence of a unique solution for the Nonlinear Ordinary Differential Equations (NODE): (1) of order m; where m is a positive integer; having the ...
Abdussalam A. Bojeldain
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Fixed Point Theorems In Banach Space And 2-Banach Space
, 2018 We generalize the result of Goebel and Zlotkiewiez [5] and also we prove fixed point theorems in Banach and 2-Banach spaces in this paper.
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Fixed Point Theorems in Quasi-2-Banach Spaces
Journal of Scientific Research and Reports, 2014 A number of authors have studied various aspects of fixed point theory in the setting of 2metric and 2-Banach spaces. In this paper we prove a fixed point theorem for mappings in quasi-2-Banach space via an implicit relation. The results of this paper extend a host of previously known results for metric space in a quasi-2-Banach space.
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On the stability problem of quadratic functional equations in 2-Banach spaces
JOURNAL OF ADVANCES IN PHYSICS, 2017 In this paper, we investigate the stability problem in the spirit of Hyers-Ulam, Rassias and G·avruta for the quadratic functional equation:f(2x + y) + f(2x ¡ y) = 2f(x + y) + 2f(x ¡ y) + 4f(x) ¡ 2f(y) in 2-Banach spaces. These results extend the generalized Hyers-Ulam stability results by thequadratic functional equation in normed spaces to 2 ...
Soo Hwan Kim, Ga Ya Kim, Seong Sik Kim
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Abstract and Applied Analysis, 2010 We introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality for an α-inverse-strongly monotone ...
Siwaporn Saewan, Poom Kumam
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Journal of Applied Mathematics, 2012 We introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality, the set of solutions of the generalized ...
Yaqin Wang
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Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar +3 more
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