Continuity properties of projection operators.
Displaying 21 – 40 of 83
Controllability of nonlinear impulsive Ito type stochastic systems
Rathinasamy Sakthivel (2009)
International Journal of Applied Mathematics and Computer Science
In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.
Controllability of nonlinear stochastic systems with multiple time-varying delays in control
Shanmugasundaram Karthikeyan, Krishnan Balachandran, Murugesan Sathya (2015)
International Journal of Applied Mathematics and Computer Science
This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical results. Some important comments are also presented on existing results for the stochastic controllability of...
Convergence theorems on generalized equilibrium problems and fixed point problems with applications.
Hao, Yan, Cho, Sun Young, Qin, Xiaolong (2010)
Journal of Inequalities and Applications [electronic only]
Critical point theorems for nonlinear dynamical systems and their applications.
Du, Wei-Shih (2010)
Fixed Point Theory and Applications [electronic only]
Dykstra's algorithm as the nonlinear extension of Bregman's optimization method.
Bregman, Lev M., Censor, Yair, Reich, Simeon (1999)
Journal of Convex Analysis
Epi/hypo-convergence: The slice topology and saddle points approximation.
Bagh, A. (1996)
Journal of Applied Analysis
Equilibrium points of random generalized games.
Tarafdar, E., Yuan, Xian-Zhi (1998)
International Journal of Mathematics and Mathematical Sciences
Existence of solutions and algorithm for a system of variational inequalities.
Zhao, Yali, Xia, Zunquan, Pang, Liping, Zhang, Liwei (2010)
Fixed Point Theory and Applications [electronic only]
Existence of solutions for -generalized vector variational-like inequalities.
Li, Xi, Kim, Jong Kyu, Huang, Nan-Jing (2010)
Journal of Inequalities and Applications [electronic only]
Existence of solutions to the system of generalized implicit vector quasivariational inequality problems.
Lin, Zhi (2009)
Journal of Inequalities and Applications [electronic only]
Existence theorems of solutions for a system of nonlinear inclusions with an application.
Wu, Ke-Qing, Huang, Nan-Jing, Yao, Jen-Chih (2007)
Journal of Inequalities and Applications [electronic only]
Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method.
Ceng, Lu-Chuan, Guu, Sy-Ming, Yao, Jen-Chih (2011)
Fixed Point Theory and Applications [electronic only]
Finding minimum norm fixed point of nonexpansive mappings and applications.
Yang, Xue, Liou, Yeong-Cheng, Yao, Yonghong (2011)
Mathematical Problems in Engineering
Fixed point theorems in locally convex spaces -- the Schauder mapping method.
Cobzaş, S. (2006)
Fixed Point Theory and Applications [electronic only]
Fixed points and variational principle in uniform spaces.
Aamri, Mohamed, Bennani, S., El Moutawakil, Driss (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
General method of regularization. I: Functionals defined on BD space
Jarosław L. Bojarski (2004)
Applicationes Mathematicae
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. In part II, we will show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we will prove the existence theorem for the limit analysis problem.
General method of regularization. II: Relaxation proposed by suquet
Jarosław L. Bojarski (2004)
Applicationes Mathematicae
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. We show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we prove an existence theorem for the limit analysis problem.
General method of regularization. III: The unilateral contact problem
Jarosław L. Bojarski (2004)
Applicationes Mathematicae
The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material with the Signorini constraints on the boundary) is the weak* lower semicontinuous regularization of the plastic energy. We consider an elastic-plastic solid endowed with the von Mises (or Tresca) yield condition. Moreover, we show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. We deduce that...
Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems.
Chowdhury, Mohammad S.R., Tarafdar, E. (2000)
Journal of Inequalities and Applications [electronic only]