Results 61 to 70 of about 400 (106)

Sharp Hardy-Leray inequality for axisymmetric divergence-free fields [PDF]

arXiv, 2007
We show that the sharp constant in the classical $n$-dimensional Hardy-Leray inequality can be improved for axisymmetric divergence-free fields, and find its optimal value. The same result is obtained for $n=2$ without the axisymmetry assumption.
arxiv  

On the existence and essential components of solution sets for systems of generalized quasi-variational relation problems

, 2014
In this paper, we study the existence of a solution for a system of quasi-variational relation problems (in short, (SQVR)). Moreover, we discuss the existence of essentially connected components of the solution set for (SQVR).
N. Hung, P. Kieu
semanticscholar   +1 more source

On a class of Variational-Hemivariational Inequalities involving set valued mappings [PDF]

Advances in Pure and Applied Mathematics, vol.1, no.2/2009, 2009
Using the KKM technique, we establish some existence results for variational-hemivariational inequalities involving monotone set valued mappings on bounded, closed and convex subsets in reflexive Banach spaces. We also derive several sufficient conditions for the existence of solutions in the case of unbounded subsets.
arxiv  

Convex valued geodesics and applications to sweeping processes with bounded retraction [PDF]

arXiv, 2020
In this paper we provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of the existence and uniqueness of solutions for this formulation which relies on the reduction to the $1$-Lipschitz continuous case by using a suitable family of geodesics for ...
arxiv  

A hybrid iterative method for a combination of equilibria problem, a combination of variational inequality problems and a hierarchical fixed point problem

, 2014
In this paper, we introduce and analyze a general iterative algorithm for finding a common solution of a combination of variational inequality problems, a combination of equilibria problem, and a hierarchical fixed point problem in the setting of real ...
A. Bnouhachem
semanticscholar   +1 more source

Alternative iterative methods for nonexpansive mappings, rates of convergence and application [PDF]

arXiv, 2009
Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. We give rates of asymptotic regularity for such iterations using proof-theoretic techniques. Some applications of the convergence results are presented.
arxiv  

An iterative algorithm for system of generalized equilibrium problems and fixed point problem

, 2014
In this paper, we propose an iterative algorithm for finding a common solution of a system of generalized equilibrium problems and a fixed point problem of strictly pseudo-contractive mapping in the setting of real Hilbert spaces.
A. Bnouhachem
semanticscholar   +1 more source

Comments on relaxed $(γ, r)$-cocoercive mappings [PDF]

arXiv, 2009
We show that the variational inequality $VI(C,A)$ has a unique solution for a relaxed $(\gamma, r)$-cocoercive, $\mu$-Lipschitzian mapping $A: C\to H$ with $r>\gamma \mu^2$, where $C$ is a nonempty closed convex subset of a Hilbert space $H$. From this result, it can be derived that, for example, the recent algorithms given in the references of this ...
arxiv  

A note on the hybrid steepest descent methods [PDF]

Proceedings of The 10th International Conference on Fixed Point Theory and its Applications, House of the Book of Science Cluj-Napoca, Romania, 2013, pp. 73-80, 2011
The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the hybrid steepest descent method is convergent whenever so is every iterative sequence generated by the Halpern type iterative method.
arxiv  

Finite intersection property for bifunctions and existence for quasi-equilibrium problems [PDF]

arXiv, 2020
The "finite intersection property" for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some results concerning existence of solution for (quasi-)equilibrium problems are established and several results well-known in the literature are recovered. Furthermore, two applications are considered.
arxiv