Results 51 to 60 of about 1,089 (131)

Convergence theorems for common solutions of various problems with nonlinear mapping

Journal of Inequalities and Applications, 2014
In this paper, motivated and inspired by Zegeye and Shahzad (Nonlinear Anal. 70:2707-2716, 2009), Qin et al. (J. Comput. Appl. Math. 225(1):20-30, 2009) and Kimura and Takahashi (J. Math. Anal. Appl.
Kyung Soo Kim, J. Kim, W. H. Lim
semanticscholar   +1 more source

L∞‐error estimates for a class of semilinear elliptic variational inequalities and quasi‐variational inequalities

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 309-319, 2001., 2001
This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi‐variational inequalities (QVI) with the right‐hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and
M. Boulbrachene, P. Cortey-Dumont, J. C. Miellou   +2 more
wiley   +1 more source

Variational Principles for Monotone and Maximal Bifunctions [PDF]

, 2003
2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces.
Chbani, Zaki, Riahi, Hassan
core  

On principal frequencies and inradius in convex sets [PDF]

, 2018
We generalize to the case of the $p-$Laplacian an old result by Hersch and Protter. Namely, we show that it is possible to estimate from below the first eigenvalue of the Dirichlet $p-$Laplacian of a convex set in terms of its inradius.
Brasco, Lorenzo
core   +3 more sources

Some algorithms for equilibrium problems on Hadamard manifolds

, 2012
In this paper, we suggest and analyze an iterative method for solving the equilibrium problems on Hadamard manifolds using the auxiliary principle technique. We also consider the convergence analysis of the proposed method under suitable conditions. Some
M. Noor, K. Noor
semanticscholar   +1 more source

Reflected forward‐backward SDEs and obstacle problems with boundary conditions

International Journal of Stochastic Analysis, Volume 14, Issue 2, Page 113-138, 2001., 2001
In this paper we study a class of forward‐backward stochastic differential equations with reflecting boundary conditions (FBSDER for short). More precisely, we consider the case in which the forward component of the FBSDER is restricted to a fixed, convex region, and the backward component will stay, at each fixed time, in a convex region that may ...
Jin Ma, Jakša Cvitanić
wiley   +1 more source

The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]

, 2015
Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto{div} (\frac{\nabla u}{\sqrt{1-|\nabla u|^2}})
Bereanu, Cristian, Jebelean, Petru, Serban, Calin   +2 more
core  

Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction

, 2014
In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=\beta_{n}u+\gamma_nx_n+(1-\beta_{n}-\gamma_n)[\alpha_{n}Tx_n+(1-\alpha_{n})x_n],$$ where $\{\alpha_{n}\}$, $ \{
Song, Yisheng, Wang, Hongjun
core   +1 more source

Graph convergence for the H(⋅,⋅)-mixed mappingwith an application for solving the system of generalized variationalinclusions

, 2013
In this paper, we investigate a class of accretive mappings called theH(⋅,⋅)-mixed mappingsin Banach spaces. We prove that the proximal-point mapping associated with theH(⋅,⋅)-mixed mapping issingle-valued and Lipschitz continuous.
S. Husain, Sanjeev Gupta, V. Mishra
semanticscholar   +1 more source

Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley   +1 more source