Results 191 to 200 of about 119,322 (225)

Weak convergence theorems of the modified relaxed projection algorithms for the split feasibility problem in Hilbert spaces

Optimization Letters, 2013
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Dong, Qiao-Li, Yao, Yonghong, He, Songnian   +2 more
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EXISTENCE OF NONTRIVIAL WEAK SOLUTIONS FOR DISCRETE NONLINEAR PROBLEMS IN n-DIMENSIONAL HILBERT SPACE

Electronic Journal of Mathematical Analysis and Applications, 2023
Summary: In this manuscript, we are concerned with the existence results for weak solutions to some \(p\)-Laplacian problem in \(n\)-dimensional Hilbert space. Our approach is based on the method of the critical point theory. Under suitable conditions we obtain the existence of nontrivial solutions for an energy functional.
Ibrango, Idrissa, Ouedraogo, Dramane, Guiro, Aboudramane   +2 more
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Remarks on 16th weak Hilbert problem forn 2*

Nonlinearity, 2002
Summary: We obtain the exact upper bound on the number of zeros of Abelian integrals for all quadratic polynomial one-forms over closed orbits of generic quadratic Hamiltonian systems having a saddle loop and a cusp point. This result, together with the results by \textit{E. Horozov} and \textit{I. D. Iliev} [Proc. Lond. Math. Soc., III. Ser. 69, No. 1,
Li, Chengzhi, Zhang, Zenghau
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Strong and Weak Convergence Theorems for General Mixed Equilibrium, General Variational Inequality, and Fixed Point Problems for Two Nonexpansive Semigroups in Hilbert Spaces

Russian Physics Journal, 2021
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Zhang, Baoshuai, Tian, Ying
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Weak infinitesimal Hilbert’s 16th problem

Proceedings of the Steklov Institute of Mathematics, 2006
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Strong and weak convergence theorems for general mixed equilibrium problems and general variational inequality problems and fixed point problems for two nonexpansive semigroups in Hilbert spaces

Izvestiya vysshikh uchebnykh zavedenii. Fizika, 2021
In this paper, we introduce some iterative algorithms for finding a common element of the set of solutions of the general mixed equilibrium problem and the set of solutions of a general variational inequality for two cocoercive mappings and the set of common fixed points of two nonexpansive semigroups in Hilbert space.
Baoshuai Zhang, Ying Tian
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A problem about the weak Hilbert property

Acta Mathematica Sinica, English Series, 1998
A preordered field \((K,S)\) is said to satisfy the Weak Hilbert Property (WHP for short) if any rational function \(f(X_1,\cdots, X_m)\) over \(K\), which is positive definite on \(K\) for every ordering of \((K,S)\), can be represented in the form \(\sum s_ih_i^2(X_1,\cdots, X_m)\), where \(s_i \in S, h_i(X_1,\cdots, X_m)\in K(X_1,\cdots, X_m)\) for ...
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Lagrange Multiplier Rules for Weak Approximate Pareto Solutions of Constrained Vector Optimization Problems in Hilbert Spaces

Journal of Optimization Theory and Applications, 2013
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Zheng, Xi Yin, Li, Runxin
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