Convergence of approximating solutions of the Navier–Stokes equations in higher ordered Sobolev norms
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DOI: 10.1002/mana.12009
Abstract: We show that the approximating solutions {uj}j=0∞$\lbrace u_j\rbrace _{j=0}^{\infty }$ of the Navier–Stokes equations constructed by Kato with the initial data u(0)∈Lσn(Rn)$u(0) \in L_{\sigma }^{n}(\mathbb {R}^{n})$ converge to the local strong solution u$u$ in the… read more here.
Keywords: approximating solutions; mathbb; navier stokes; convergence approximating ... See more keywords
Approximating Solutions of Optimization Problems via Fixed Point Techniques in Geodesic Spaces
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DOI: 10.3390/axioms11100492
Abstract: The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in our study is a nonexpansive… read more here.
Keywords: geodesic spaces; approximating solutions; via fixed; solutions optimization ... See more keywords
Method for Approximating Solutions to Equilibrium Problems and Fixed-Point Problems without Some Condition Using Extragradient Algorithm
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DOI: 10.3390/axioms13080525
Abstract: The objective of this research is to present a novel approach to enhance the extragradient algorithm’s efficiency for finding an element within a set of fixed points of nonexpansive mapping and the set of solutions… read more here.
Keywords: approximating solutions; equilibrium problems; method approximating; solutions equilibrium ... See more keywords