Results 31 to 40 of about 805 (130)
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
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
, 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
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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
Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems [PDF]
arXiv, 2021 Using a variant of Caccioppoli's inequality involving small weights, i.e. weights of the form $(1+|\nabla u|^2)^{-\alpha/2}$ for some $\alpha > 0$, we establish several Liouville-type theorems under general non-standard growth conditions.
arxiv
, 2014 In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings.
N. Shahzad, H. Zegeye
semanticscholar +1 more source
Completely generalized multivalued nonlinear quasi‐variational inclusions
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 593-604, 2002., 2002 We introduce and study a new class of completely generalized multivalued nonlinear quasi‐variational inclusions. Using the resolvent operator technique for maximal monotone mappings, we suggest two kinds of iterative algorithms for solving the completely generalized multivalued nonlinear quasi‐variational inclusions.
Zeqing Liu +3 more
wiley +1 more source
Jensen's Inequalities in Two and Three Dimensions [PDF]
arXiv, 2022 We prove certain type symmetric inequalities in $\textbf{R}^{2}$ and $\textbf{R}^3$, that ocur in many problems of analysis. These inequalities are generalizations of the Jensen's inequality from one variable to two and three ...
arxiv
, 2011 In this paper, we show the hierarchical convergence of the following implicit double-net algorithm: xs,t=s[tf(xs,t)+(1-t)(xs,t-μAxs,t)]+(1-s)1λs∫0λsT(v)xs,tdν,∀s,t∈(0,1), where f is a ρ-contraction on a real Hilbert space H, A : H → H is an α-inverse ...
Yonghong Yao, Y. Je Cho, Y. Liou
semanticscholar +1 more source
Existence for viscoplastic contact with Coulomb friction problems
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 411-437, 2002., 2002 We present existence results in the study of nonlinear problem of frictional contact between an elastic‐viscoplastic body and a rigid obstacle. We model the frictional contact both by a Tresca′s friction law and a regularized Coulomb′s law. We assume, in a first part, that the contact is bilateral and that no separation takes place.
Amina Amassad, Caroline Fabre
wiley +1 more source