[PDF] Top 20 Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems
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Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems
... Equilibrium problems theory provides us a natural, novel and unified framework to study a wide class of problems arising in economics, finance, transportation, network and struc- tural analysis, ... See full document
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Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
... of fixed points of S by ...of fixed points of a nonexpansive ...the equilibrium problem; see, for instance, 1, 2, 6, ...a strong convergence ...of fixed points of a nonexpansive ... See full document
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Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems
... generalized equilibrium prob- lem and the set of common fixed points of a finite family of asymptotically κ-strict pseu- docontractive mappings in the intermediate sense, utilizing the method in ...following ... See full document
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Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems
... the fixed points set of relatively nonexpansive mapping, the solution set of equili- brium problem and solution set of variational inequality problem for g-inverse mono- tone mapping (see, ...of ... See full document
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Strong Convergence for Generalized Equilibrium Problems, Fixed Point Problems and Relaxed Cocoercive Variational Inequalities
... generalized equilibrium problems, the set of fixed points of an infinite family of nonexpansive mappings, and the set of solutions of the variational inequality problems for a ... See full document
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On solutions of inclusion problems and fixed point problems
... fixed point problem are investigated based on a hybrid projection ...The strong convergence of the hybrid projection method is obtained in the framework of Hilbert ...spaces. Variational ... See full document
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Finding Common Solutions of a Variational Inequality, a General System of Variational Inequalities, and a Fixed-Point Problem via a Hybrid Extragradient Method
... the variational inequality 1.1 is denoted by VIA, C. Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of ... See full document
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Strong convergence theorems for a generalized mixed equilibrium problem and variational inequality problems
... of variational inequalities for a strongly positive linear bounded operator and the set of solutions of a mixed equilibrium problem is ...A strong convergence theorem for this iterative scheme ... See full document
21
General Iterative Method for Convex Feasibility Problem via the Hierarchical Generalized Variational Inequality Problems
... hierarchical fixed point approach to variational inequalities,” Bulletin of the Australian Mathematical Society, ...“Strong convergence of an iterative method for hierarchical ... See full document
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Hybrid Proximal-Type Algorithms for Generalized Equilibrium Problems, Maximal Monotone Operators, and Relatively Nonexpansive Mappings
... space. Strong convergence theorems for these hybrid proximal-type algorithms are established; that is, under appropriate conditions, the sequences generated by these various algorithms converge ... See full document
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Monotone variational inequalities, generalized equilibrium problems and fixed point methods
... JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...mappings. ... See full document
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Strong Convergence of an Iterative Method for Equilibrium Problems and Variational Inequality Problems
... Corollary 3.3. Let H be a real Hilbert space and C be a nonempty closed convex subset of H. S a finite family of nonexpansive mappings from C into itself and F : C × C → R a bifunction satisfying (A1)–(A4). Let f : C → C ... See full document
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Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function
... of variational inequality problems for monotone mappings with Bregman distance ...Our convergence theorem is applied to the convex minimization ...Our theorems extend and unify most of ... See full document
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Some results on asymptotically quasi ϕ nonexpansive mappings in the intermediate sense and equilibrium problems
... fixed point problem of a finite family of asymptotically quasi- φ -nonexpansive mappings in the intermediate sense and an equilibrium ...problem. Strong convergence theorems of common ... See full document
14
Common solutions of equilibrium and fixed point problems
... a strong convergence theorem; for more details, see [] and the references ...the equilibrium problem and fixed points of generalized asymptoti- cally quasi-φ-nonexpansive ...A strong ... See full document
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A strong convergence theorem of common elements in Hilbert spaces
... optimization problems, economics and transportation. The theory of variational inequalities has emerged as a rapidly growing area of research because of its applications; see [–] fore more details and ... See full document
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On generalized quasi-ϕ-nonexpansive mappings and their projection algorithms
... Kim, JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive mappings.. Fixed Point The[r] ... See full document
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Strong convergence theorems for fixed points of nonlinear mappings
... Recently, fixed point iterations of relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references ...considered ... See full document
8
Viscosity iterative algorithms for variational inequality
... classical variational inequality (1.2) and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...for variational ... See full document
9
Strong convergence theorems for common solutions of variational inequality and fixed point problems
... Iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see [10-15] and the references therein. A typical problem is to mini- mize a quadratic function over ... See full document
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