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Titlebook: Computational Mathematics and Variational Analysis; Nicholas J. Daras,Themistocles M. Rassias Book 2020 Springer Nature Switzerland AG 202

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Additive-Quadratic Functional Inequalities,nd .where . is a fixed nonzero complex number with .. Using the direct method and the fixed point method, we prove the Hyers–Ulam stability of the additive-quadratic .-functional inequalities (1) and (2) in complex Banach spaces.
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Equilibria of Parametrized ,-Player Nonlinear Games Using Inequalities and Nonsmooth Dynamics,sh equilibria for .-players nonlinear games. Our inquiries make use of the theory of variational inequalities and projected systems to highlight cases where multiplayer Nash games with parametrized payoffs exhibit changes in the number of Nash equilibria, depending on given parameter values.
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Additive (,, ,)-Functional Inequalities in Complex Banach Spaces,|..| > 1, and .where .. and .. are fixed complex numbers with 1 + |..| > |..| > 1. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of the additive (.., ..)-functional inequalities (2) and (1) in complex Banach spaces.
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Unsupervised Stochastic Learning for User Profiles,ation or a database system. The mechanism of the Markovian model is employed where probabilistic locality translates to semantic locality in ways that facilitate a hierarchical clustering with optimal properties.
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Additive-Quadratic Functional Inequalities,nd .where . is a fixed nonzero complex number with .. Using the direct method and the fixed point method, we prove the Hyers–Ulam stability of the additive-quadratic .-functional inequalities (1) and (2) in complex Banach spaces.
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Studies of the Paris Manuscripts when data containing sensitive information are processed by a third party. In order to solve this problem, we propose a cryptographic protocol and we prove its security. The security analysis leads to introduce the new notion of generalized discrete logarithm problem. Our protocol has effectively b
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