Results 31 to 40 of about 1,089 (131)
On some inequalities for relative semi-convex functions
, 2013 We consider and study a new class of convex functions that are called relative semi-convex functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are derived.
M. Noor, M. U. Awan, K. Noor
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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
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, 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
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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
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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
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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
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, 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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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
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, 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
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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
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