[PDF] Top 20 Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
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Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
... The set of solutions of 1.1 is denoted by EPF. Given a mapping T : C → H, let Fx, y Tx, y − x for all x, y ∈ C. Then, z ∈ EPF if and only if Tz, y − z ≥ 0 for all y ∈ C. Numerous problems in physics, optimization, ... See full document
13
Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems
... There are a substantial number of numerical methods including projection technique and its variant forms, Wiener-Hopf equations, the auxiliary principle technique, and re- solvent equations methods for solving ... See full document
15
Demiclosed principle and convergence theorems for asymptotically strictly pseudononspreading mappings and mixed equilibrium problems
... and mixed equilibrium problem in infinite-dimensional Hilbert spaces. Some weak and strong convergence theorems are proved. At the same time, the demiclosed principle of a ... See full document
20
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
Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications
... generalized equilibrium problem, of a solution set solutions of a variational inequality problem and of a fixed point set of a strict ...pseudocontraction. Strong convergence ... See full document
14
A proximal point algorithm for zeros of monotone operators
... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document
7
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
Some results on a modified Mann iterative scheme in a reflexive Banach space
... fixed point problems of nonexpansive mappings based on hybrid projection methods in the framework of Hilbert ...fixed point problems of nonlinear mappings based on the methods in the ... See full document
14
Some results on zero points of m-accretive operators in reflexive Banach spaces
... weak convergence for nonexpansive mappings in infinite-dimensional Hilbert spaces; see [–] for more de- tails and the references ...theory, problems arise in infinite-dimensional ... See full document
11
Viscosity iterative algorithms for variational inequality
... and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...inequality problems and fixed point set of nonexpansive ... See full document
9
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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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
Projection methods of iterative solutions in Hilbert spaces
... fixed point problems, and zero point problems have been investigated by many authors based on iterative methods; see, for example, [–] and the references ...zero point ... See full document
15
Strong Convergence Theorem for Equilibrium Problems and Fixed Points of a Nonspreading Mapping in Hilbert Spaces
... of fixed points of Q, and FQ nonempty; a mapping Q : C → C is said to be quasi-nonexpansive if Qx − y ≤ x − y for all x ∈ C and y ∈ ...a Hilbert space, we know that every firmly nonexpansive mapping is ... See full document
16
A strong convergence theorem of common elements in Hilbert spaces
... optimization problems, economics and ...weak convergence for nonexpansive mappings in infinite dimension spaces; see [] and the reference ...study equilibrium problems, fixed ... See full document
16
A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces
... for equilibrium problems and split feasibility problems in Hilbert ...of equilibrium problems and the set of solutions of split feasibility ... See full document
16
On the Convergence for an Iterative Method for Quasivariational Inclusions
... We introduce an iterative algorithm for finding a common element of the set of solutions of quasivariational inclusion problems and of the set of fixed points of strict pseudocontractions in the framework ... See full document
11
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
14
A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
... 1 Y. I. Alber, “Metric and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, vol. 178 of Lecture ... See full document
14
An algorithm for treating asymptotically strict pseudocontractions and monotone operators
... function. Convergence theorems are established in the framework of real Hilbert spaces; for more details, see ...zero point problems of the sum of two monotone map- pings and ... See full document
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