Results 61 to 70 of about 2,267 (120)
Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Let K be a nonempty compact convex subset of a topological vector space. In this paper‐sufficient conditions are given for the existence of x ∈ K such that F(T)∩VEP(F) ≠ ∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector‐valued mapping F.
Kanokwan Sitthithakerngkiet +2 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 We introduce the new iterative methods for finding a common solution set of monotone, Lipschitz‐type continuous equilibrium problems and the set of fixed point of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Hilbert space.
Rabian Wangkeeree +2 more
wiley +1 more source
Fixed Point Theory and Applications, 2018 In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie +1 more
doaj +1 more source
First Order Characterizations of Pseudoconvex Functions [PDF]
, 2001 First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed.
Ivanov, Vsevolod
core +1 more source
Advances in Operations Research, Volume 2012, Issue 1, 2012., 2012 We introduce the notion of relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings, which is weaker than invariant pseudomonotone maps. Using the KKM technique, we establish the existence of solutions for variational‐like inequality problems with relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings in reflexive Banach spaces. We also introduce the concept of (ρ‐
N. K. Mahato +2 more
wiley +1 more source
Journal of Mathematics and Computer Science, 2020 In this paper, we propose a modified extragradient method for solving a strongly pseudomonotone equilibrium problem in a real Hilbert space. A strong convergence theorem relative to our proposed method is proved and the proposed method has worked without
H. Rehman +3 more
semanticscholar +1 more source
Characterizations of $alpha$-well-posedness for parametric quasivariational inequalities defined by bifunctions [PDF]
, 2010 The purpose of this paper is to investigate the well-posedness issue of parametric quasivariational inequalities defined by bifunctions. We generalize the concept of $alpha$-well-posedness to parametric quasivariational inequalities having a unique ...
Nan-Jing Huang, Rong Hu, Ya-Ping Fang
core +1 more source
A critical view on invexity [PDF]
, 2012 The aim of this note is to emphasize the fact that in many papers on invexity published in prestigious journals there are not clear definitions, trivial or not clear statements and wrong proofs.
Zalinescu, Constantin
core
Carpathian Journal of Mathematics, 2020 The purpose of this paper is to come up with an inertial extragradient method for dealing with a class of pseudomonotone equilibrium problems. This method can be a view as an extension of the paper title “A new twostep proximal algorithm of solving the ...
Pasakorn Yordsorn, Poom Kumam, H. Rehman
semanticscholar +1 more source
Symmetry, 2020 In this article, we propose a new modified extragradient-like method to solve pseudomonotone equilibrium problems in real Hilbert space with a Lipschitz-type condition on a bifunction.
T. Bantaojai +4 more
semanticscholar +1 more source