[PDF] Top 20 Algorithms for Common Solutions to Generalized Mixed Equilibrium Problems and Fixed Point Problems under Nonlinear Transformations in Banach Spaces

... such problems, we have to obtain some solution which is simultaneously the solution of two or more subproblems or the solution of one subproblem on the solution set of another ...inequality problems or two ... See full document

... the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem, and the solutions of the variational inequality problem for two ... See full document

... of solutions of 1.5 is denoted by EPF. Many problems in applied sciences, such as numerous problems in physics, optimization, and economics reduce into finding a solution of ...the generalized ... See full document

... a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of the variational inequalities with inverse-strongly monotone mappings, and the ... See full document

... a common element of the solutions set of a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in a ... See full document

... in Banach spaces. Recall that T is said to be generalized asymptotically quasi-φ-nonexpansive iff F(T ) = ∅, and there exist two nonnegative sequences { μ n } ⊂ [, ∞) with μ n → , and { ξ n } ⊂ [, ... See full document

... a common element of the set of common fixed points of a finite family of closed generalized quasi- j - asymptotically nonexpansive mappings and the set of solutions of ... See full document

... a common element of the set of solutions of the mixed equilibrium problems, the set of fixed point of a k-strict pseudocontraction mapping, and the set of solutions ... See full document

... a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solutions of generalized mixed equilibrium problems and the set of ... See full document

... a common solution of a generalized mixed equilibrium problem, the set of fixed points of a nonexpansive mapping and the set of solutions of variational inequality problem in a ... See full document

... of common solutions of a finite family of generalized equilibrium problems and the set of common fixed points of two countable families of total quasi-ϕ- asymptotically ... See full document

... Recently, common solution problems (i.e., to find a common element of the set of solutions of equilibrium problems and/or the set of fixed points of mappings and/or the ... See full document

... the problems of finding a common element of the set of fixed points for a mapping and the set of solutions of equilibrium problem in the setting of Hilbert space and uniformly smooth ... See full document

... The main purpose of this paper is to introduce an explicit iterative algorithm to study the existence problem and the approximation problem of solution to the quadratic minimization problem. Under suitable ... See full document

... approximate point of the common set of solutions of an equilibrium problem and a hierarchical fixed point problem in the setting of real Hilbert ...method under some mild ... See full document

... In this paper, motivated and inspired by the research going on in this direction, we study the variational inequality (.), and the fixed point and equilibrium problem (.) based on a regularization ... See full document

... Lemma  ([]) Let H be a Hilbert space, and let g : H → H be a k-contraction with  < k < . Let V be a γ -strongly monotone and L-Lipschitzian continuous operator on H with γ >  and L > . Let a real ... See full document

... Yang, L, Zhao, F, Kim, JK: Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-φ -nonexpansive mappings in[r] ... See full document

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. A mapping T of C into itself is called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed ... See full document

... the generalized mixed equilibrium problem ...the nonlinear opera- tor A is a monotone, Lipschitz continuous mapping, ϕ is a convex and lower semicontin- uous function, and the real valued ... See full document