Results 11 to 20 of about 1,076 (134)
Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality đ in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
doaj +1 more source
A Ky Fan minimax inequality for quasiequilibria on finite dimensional spaces [PDF]
, 2017 Several results concerning existence of solutions of a quasiequilibrium problem defined on a finite dimensional space are established. The proof of the first result is based on a Michael selection theorem for lower semicontinuous set-valued maps which ...
Castellani, Marco +2 more
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Strong convergence theorems for the split variational inclusion problem in Hilbert spaces
Fixed Point Theory and Applications, 2013 In this paper, we first consider a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method and the regularized iteration method.
Chih-Sheng Chuang
semanticscholar +1 more source
Iterative approximation of a solution of a general variationalâlike inclusion in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1159-1168, 2004., 2004 We introduce a class of Ρâaccretive mappings in a real Banach space and show that the Ρâproximal point mapping for Ρâmâaccretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variationalâlike inclusions involving Ρâaccretive mappings in real Banach space, and discuss its convergence criteria.
C. E. Chidume, K. R. Kazmi, H. Zegeye
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1035-1045, 2004., 2004 We use Nadlerâ˛s theorem and the resolvent operator technique for mâaccretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the ...
A. H. Siddiqi, Rais Ahmad
wiley +1 more source
Parabolic inequalities in Orlicz spaces with data in L1
Open Mathematics, 2021 In this paper, we provide existence and uniqueness of entropy solutions to a general nonlinear parabolic problem on a general convex set with merely integrable data and in the setting of Orlicz spaces.
Alaoui Mohammed Kbiri
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Mixed quasi invex equilibrium problems
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 57, Page 3057-3067, 2004., 2004 We introduce a new class of equilibrium problems, known as mixed quasi invex equilibrium (or equilibrium-like) problems. This class of invex equilibrium problems includes equilibrium problems, variational inequalities, and variationalâlike inequalities as special cases.
Muhammad Aslam Noor
wiley +1 more source
Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
Advances in Nonlinear Analysis, 2021 In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region
Wang Jun
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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
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3849-3857, 2004., 2004 We introduce and study a class of general quasivariationalâlike inequalities in Hilbert spaces, suggest two general algorithms, and establish the existence and uniqueness of solutions for these kinds of inequalities. Under certain conditions, we discuss convergence and stability of the threeâstep iterative sequences generated by the algorithms.
Zeqing Liu +3 more
wiley +1 more source