ITERATIVE APPROXIMATION OF SOLUTION OF GENERALIZED MIXED SET-VALUED VARIATIONAL INEQUALITY PROBLEM
, 2007 In this paper, we consider a generalizedmixed set-valued variational inequality problem which includes many important known variational inequality problems and equilibrium problem, and its related some auxiliary variational inequality problems.
K. Kazmi, A. Khaliq, A. Raouf
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Fixed Point Theory and Applications, 2014 In this paper, we introduce a new class of generalized strict pseudocontractions in a real Hilbert space, and we consider a three-step Ishikawa-type iteration method {zn=(1−γn)xn+γnTnxn,yn=(1−βn)xn+βnTnzn,xn+1=(1−αn)xn+αnTnyn, for finding a common fixed ...
Shi-Xiu Li +3 more
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The existence of extremal functions for discrete Sobolev inequalities on lattice graphs [PDF]
arXiv, 2021 In this paper, we study the existence of extremal functions of the discrete Sobolev inequality and Hardy-Littlewood-Sobolev inequality on lattice graphs. We introduce the discrete Concentration-Compactness principle, and prove the existence of extremal functions for the best constants in the supercritical cases.
arxiv
Existence and Multiplicity of solutions for Kirchhoff type equations in Physical Education [PDF]
arXiv, 2022 The fact that potentially skilled, but biologically later-maturing athletes are less likely to be selected into talent development programmes can represent a failure of Talent Identification in sports. In this article, we prove the existence of solutions for Kirchhoff type equations with Dirichlet boundaryvalue condition.
arxiv
Infinitely many local minima of sequentially weakly lower semicontinuous functionals [PDF]
Nonlinear Analysis and Convex Analysis , W. Takahashi and T.
Tanaka eds., 433-442, Yokohama Publishers, 2003, 2004 We give an overview of some applications of a general variational principle.
arxiv
Bounded Palais-Smale sequences with Morse type information for some constrained functionals [PDF]
arXiv, 2022 In this paper, we study, for functionals having a mountain pass geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
arxiv
Fractional $p$-Laplacian equations with sandwich pairs [PDF]
arXiv, 2023 The main purpose of this paper is to consider new sandwich pairs and investigate the existence of solution for a new class of fractional differential equations with $p$-Laplacian via variational methods in $\psi$-fractional space $\mathbb{H}^{\alpha,\beta;\psi}_{p}(\Omega)$. The results obtained in this paper are the first to make use of the theory of $
arxiv
Representation theorems and variational principles for self-adjoint operator matrices [PDF]
arXiv, 2014 In the terms of triples $D^+\to H\to D^-$ of Hilbert spaces we construct an analogue of Friedrichs's extension for operator matrices. Also we establish some general approach to construction of variational principles for such matrices.
arxiv
[Generalized Telegraph equation with fractional $p(x)$-Laplacian [PDF]
arXiv, 2023 The purpose of this paper is devoted to \textcolor{red}{discussing} the existence of solutions for a generalized fractional telegraph equation involving a class of $\psi$-Hilfer fractional with $p(x)$-Laplacian differential equation.
arxiv
Minimal coexistence configurations for multispecies systems [PDF]
arXiv, 2008 We deal with strongly competing multispecies systems of Lotka-Volterra type with homogeneous Neumann boundary conditions in dumbbell-like domains. Under suitable non-degeneracy assumptions, we show that, as the competition rate grows indefinitely, the system reaches a state of coexistence of all the species in spatial segregation.
arxiv