... graduate in Jangsu Province Grant No. 181200000649.Author details1Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems, School of MathematicalSciences, Nanjing ... Numerical Simulation of LargeScale Complex Systems, School of Mathematical Sciences, NanjingNormal University, Nanjing 210046,PR ChinaFull list of author information isavailable at the end of ... of solutions fora system of nonlinear viscoelasticwave equations with strong dampingFei Liang1,2and Hongjun Gao1** Correspondence: gaohj@hotmail.com1Jiangsu Provincial Key Laboratory for Numerical...
... Cholamjiak and S. Suantai, A new hybrid algorithm for variational inclusions, generalizedequilibrium problems, and a finite family of quasi-nonexpansive mappings,” Fixed Point Theory andApplications, ... Theory and Applications9 T. Jitpeera and P. Kumam, “An extra gradient type method fora system of equilibrium problems,variational inequality problems and fixed points of finitely many nonexpansive ... Germany,1997.22 W. Takahashi, Y. Takeuchi, and R. Kubota, “Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces,” Journal of Mathematical Analysis...
... well-known p-Laplacianoperator. However, the px-Laplace operator possesses more complicated nonlinearity thanp-Laplace operator due to the fact that Δpxis not homogeneous. This fact implies ... somedifficulties, as for example, we cannot use the Lagrange multiplier theorem and Morsetheorem in a lot of problems involving this operator.In literature, elliptic systems with standard and nonstandard ... capacity,” Taiwanese Journal of Mathematics, vol.12, no. 3, pp. 101–108, 2008.6 E. Acerbi and G. Mingione, “Regularity results for stationary electrorheological fluids,” Archive for Rational...
... of Mathematical Analysis and Applications, vol. 333, no. 2, pp. 591–603, 2007.12 Q. Zhang, “Existence of radial solutions for px-Laplacian equations inRN,” Journal of MathematicalAnalysis and ... Theory, Methods & Applications, vol. 52, no. 2, pp. 585–594, 2003.6 X L. Fan, Q. Zhang, and D. Zhao, “Eigenvalues of px-Laplacian Dirichlet problem,” Journal of Mathematical Analysis and ... “Regularity results fora class of functionals with non-standard growth,”Archive for Rational Mechanics and Analysis , vol. 156, no. 2, pp. 121–140, 2001.2 Y. Chen, S. Levine, and M. Rao, “Variable...
... pagesdoi:10.1155/2009/351265Research Article A Strong Convergence Theorem for a Family of Quasi-φ-Nonexpansive Mappings in a Banach SpaceHaiyun Zhou1and Xinghui Gao21Department of Mathematics, Shijiazhuang Mechanical ... New York, NY, USA, 1996.11 Ya. I. Alber and S. Reich, “An iterative method for solving a class of nonlinear operator equations inBanach spaces,” Panamerican Mathematical Journal, vol. 4, no. ... convergence theorem for the alternating method with Bregman distances,” inTheory and Applications of Nonlinear Operators of Accretive and Monotone Type, A. G. Kartsatos, Ed., vol.178 of Lecture...
... Introduction and preliminariesVariational inequalities introduced by Stampacchia [1] in the early sixties have had a greatimpact and influence in the development of almost all branches of pure and applied ... equivalent to the fixed point problems. This alternative equivalentformulation is very important from the numerical analysis point of view and has played a significant part in several numerical ... Shang et al. 9[5] D. Gabay, “Applications of the method of multipliers to variational inequalities,” in AugmentedLagrangian Methods, M. Fortin and R. Glowinski, Eds., pp. 299–331, North-Holland,...
... large-time behavior of solu-tion of (1.1)forthecaseβ= 0andλ<0; and in [4], the authors obtained conditions for the extinction of solutions of (1.1) without absorption by using sub- and supersolution ... with a nonlinear convec-tion term,” International Journal of Mathematics and Mathematical Sciences, vol. 2007, ArticleID 27368, 10 pages, 2007.Wenjun Liu: Department of Mathematics, Southeast ... Department of Mathematics, Southeast University, Nanjing 210096, ChinaEmail address: mxwang@seu.edu.cnBin Wu: College of Mathematics and Physics, Nanjing University of Information Science andTechnology,...
... frame-worksforclassesofH-accretive operators, generalized η-accretive operators, m-accretive 2 Fixed Point Theory and Applicationscan be modeled as a system of variational inequalities. Ansari ... (H,η)-accretive operators inBanach spaces,” to appear in Journal of Inequalities and Applications.[11] S. Adly, “Perturbed algorithms and sensitivity analysis fora general class of variational inclu-sions,” ... frameworks for H-monotone opera tors in [1], H-accretive oper-ators in [9], (H,η)-monotone operators in [35], maximal η-monotone operators in [5],generalized m-accretive operators in [8], m-accretive...
... 2002.[2] A. Kovalevsky and F. Nicolosi, “On the sets of boundedness of solutions fora class of degen-erate nonlinear elliptic four th-order equations with L1-data,” Fundamentalnaya I PrikladnayaMatematika, ... Elliptic Equations of Higher Order, Naukova Dumka, Kiev, Ukraine,1973.[12] O. A. Ladyzhenskaya and N. N. Ural’tseva, Linear and Quasilinear Elliptic Equations,AcademicPress, New York, NY, USA, 1968.S. ... bonafedes@unipa.itF. Nicolosi: Dipartimento di Matematica e Informatica, Universit` a delgi Studi di Catania,Viale A. Doria 6, 95125 Catania, ItalyEmail address: fnicolosi@dmi.unict.it ...