Results 31 to 40 of about 1,076 (134)
Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 4, Page 199-207, 2003., 2003 The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented.
Zeqing Liu +2 more
wiley +1 more source
, 2012 Recently, Colao et al. (J Math Anal Appl 344:340-352, 2008) introduced a hybrid viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a finite family of nonexpansive ...
L. Ceng, S. Guu, Jen-Chih Yao
semanticscholar +1 more source
Forward‐backward resolvent splitting methods for general mixed variational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2759-2770, 2003., 2003 We use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our methods differ from the known three‐step forward‐backward splitting of
Muhammad Aslam Noor +2 more
wiley +1 more source
Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly [PDF]
, 2014 In this note we investigate stochastic Nash equilibrium problems by means of monotone variational inequalities in probabilistic Lebesgue spaces. We apply our approach to a class of oligopolistic market equilibrium problems where the data are known ...
Jadamba, Baasansuren, Raciti, Fabio
core +1 more source
Split hierarchical variational inequality problems and related problems
, 2014 The main objective of this paper is to introduce a split hierarchical variational inequality problem. Several related problems are also considered. We propose an iterative method for finding a solution of our problem. The weak convergence of the sequence
Q. Ansari, Nimit Nimana, N. Petrot
semanticscholar +1 more source
Iterative resolvent methods for general mixed variational inequalities
International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 283-294, 2003., 2003 In this paper, we use the technique of updating the solution to suggest and analyze a class of new self‐adaptive splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Proof of convergence is very simple.
Muhammad Aslam Noor, Khalida Inayat Noor
wiley +1 more source
On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth [PDF]
, 2003 2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet ...
Candela, Anna Maria, Squassina, Marco
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مجلة بغداد للعلوم, 2021 In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces.
Salwa Salman Abed +1 more
doaj +1 more source
Convex KKM maps, monotone operators and Minty variational inequalities
, 2015 It is known that for convex sets, the KKM condition is equivalent to the finite intersection property. We use this equivalence to obtain a characterisation of monotone operators in terms of convex KKM maps and in terms of the existence of solutions to ...
Lassonde, Marc
core +1 more source
, 2014 The purpose of this paper is to introduce and study a new class of nonlinear mixed ordered inclusion problems in ordered Banach spaces and to obtain an existence theorem and a comparability theorem of the resolvent operator. Further, by using fixed point
Hong Gang Li, Li Pei Li, Mao-Ming Jin
semanticscholar +1 more source