[PDF] Top 20 Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications
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Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications
... Throughout this paper, we assume that H is a real Hilbert space with zero vector θ, whose inner product and norm are denoted by 〈·, ·〉 and || · ||, respectively. The sym- bols N and ℝ are used to denote the sets of ... See full document
15
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
15
Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications
... an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem and of a fixed ... See full document
14
Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
... of fixed points of S by FS. There are some methods for approximation of fixed points of a nonexpansive ...approximation method for nonexpansive mappings see 5 for further developments in both ... See full document
13
On weak convergence of an iterative algorithm for common solutions of inclusion problems and fixed point problems in Hilbert spaces
... 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
13
A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
... a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach ...the ... See full document
14
On strong convergence of an iterative algorithm for common fixed point and generalized equilibrium problems
... captures applications in various dis- ciplines such as image restoration, and radiation therapy treatment planning is to find a point in the intersection of common fixed point sets of a family of ... See full document
14
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
11
A strong convergence theorem of common elements in Hilbert spaces
... optimization problems, economics and ...its applications; see [–] fore more details and the refer- ences ...on iterative methods has been at- tracting many authors’ ...the iterative ... See full document
16
Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems
... “Strong Convergence of Krasnoselskii and Mann’s Type Sequences for One-Parameter Nonexpan- sive Semigroups without Bochner Integrals,” Journal of Mathematical Analysis and Applications, ... See full document
8
Some results on zero points of m-accretive operators in reflexive Banach spaces
... Krasnoselski-Mann iterative process only has weak convergence for nonexpansive mappings in infinite-dimensional Hilbert spaces; see [–] for more de- tails and the references ...theory, problems ... See full document
11
Some results on continuous pseudo contractions in a reflexive Banach space
... Lemma . Let C be nonempty closed and convex subset of a real Banach space E, and let T : C → C be a continuous pseudo-contraction. Let f : C → C be a fixed continuous bounded and strong pseudo-contraction with ... See full document
9
Some results on asymptotically quasi ϕ nonexpansive mappings in the intermediate sense and equilibrium problems
... Theorem . Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property and let C be a nonempty closed and convex subset of E. Let f be a bifunction from C × C to R satisfying ... See full document
14
Projection methods of iterative solutions in Hilbert spaces
... Throughout this paper, we always assume that H is a real Hilbert space with an inner product ·, · and a norm · . Let C be a nonempty, closed, and convex subset of H. Let S : C → C be a nonlinear mapping. F(S) stands for ... See full document
15
Some results on a modified Mann iterative scheme in a reflexive Banach space
... Mann iterative scheme is an important iterative scheme to study the class of non- expansive mappings ...Mann iterative scheme is only weak conver- gence for nonexpansive mappings; see ...[], ... See full document
14
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
21
Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
... The purpose of this article is to introduce the concept of total quasi-φ -asymptotically nonexpansive semigroups; to modify the Halpern and Mann-type iteration algorithm [, ] for total quasi-φ-asymptotically ... See full document
14
Common solutions of equilibrium and fixed point problems
... is some positive real ...a strong convergence theorem; for more details, see [] and the references ...the equilibrium problem and fixed points of generalized asymptoti- cally ... See full document
14
Projection algorithms for treating asymptotically quasi ϕ nonexpansive mappings in the intermediate sense
... Projection methods which were first introduced by Haugazeau [] have been consid- ered for the approximation of fixed points of nonlinear mappings. The advantage of pro- jection methods is that strong ... See full document
15
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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