... and polynomial decay fora quasilinear viscoelastic problem. Nonlinear Anal. 68,785–793 (2007)8. Messaoudi, SA: General decay of solutions ofa viscoelastic equation. J. Math. Anal. Appl. 341, ... 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 ... displacements of waves. This problem arises in the theory of vis-coelastic and describes the interaction of two scalar fields, we can refer to Cavalcantiet al. [1], Messaoudi and Tatar [2], Renardy et al....
... 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 ... Journal of Inequalities and Applications, vol.2010, Article ID 728028, 43 pages, 2010.13 C. Jaiboon, W. Chantarangsi, and P. Kumam, A convergence theorem based on a hybrid relaxedextragradient...
... 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 ... px,qx-LaplacianS. Ogras, R. A. Mashiyev, M. Avci, and Z. YucedagDepartment of Mathematics, Dicle University, 21280 Diyarbakir, TurkeyCorrespondence should be addressed to R. A. Mashiyev, mrabil@dicle.edu.trReceived ... of the calculus of variations and elasticity theory,” IzvestiyaAkademii Nauk SSSR. Seriya Matematicheskaya, vol. 50, no. 4, pp. 675–710, 1986 Russian.14 C. O. Alves and M. A. Souto, “Existence...
... 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 ... 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 Applications, ... Journal of Inequalities and ApplicationsThe study of differential equations and variational problems with variable exponentgrowth conditions is a new and interesting topic. Many results have...
... 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 ... I. Alber and S. Reich, “An iterative method for solving a class of nonlinear operator equations inBanach spaces,” Panamerican Mathematical Journal, vol. 4, no. 2, pp. 39–54, 1994.12 S. Kamimura ... Netherlands, 1990.9 W. Takahashi, Nonlinear Functional Analysis, Yokohama Publishers, Yokohama, Japan, 2000.10 Ya. I. Alber, “Metric and generalized projection operators in Banach spaces:...
... 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,...
... Department of Mathematics, Southeast University, Nanjing 210096, China; College of Mathematics and Physics, Nanjing University of Information Science and Technology,Nanjing 210044, ChinaEmail ... “Periodic solutions of evolution m-laplacian equations with a nonlinear convec-tion term,” International Journal of Mathematics and Mathematical Sciences, vol. 2007, ArticleID 27368, 10 pages, 2007.Wenjun ... Mathematical Analysis and Applications, vol. 228, no. 2, pp.483–494, 1998.[7] S. L. Chen, “The extinction behavior of the solutions fora class of reaction-diffusion equations,”Applied Mathematics and...
... nonlinear variational inequali-ties.As generalizations of the above systems of variational inequalities, Agarwal et al. [33]introduced a system of generalized nonlinear mixed quasivariational ... (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,” ... 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...
... 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. ... S. Bonafede and S. DAsero, Hăolder continuity of solutions fora class of nonlinear elliptic vari-ational inequalities of high order,” Nonlinear Analysis. Theory, Methods & Applications,...