[PDF] Top 20 On weak convergence of an iterative algorithm for common solutions of inclusion problems and fixed point problems in Hilbert spaces

... zero point problem of the sum of a maximal monotone mapping and an inverse-strongly monotone mapping, and the fixed point prob- lem of a nonexpansive ...Mann-type iterative algorithm with mixed ... See full document

... a common element of the set of fixed points of nonexpansive mappings, the set of solutions of the variational inequality and the generalized equilibrium ...the iterative methods ...viscosity ... See full document

... unrelated problems arising in various branches of social, engi- neering, and pure sciences in unified and general ...various problems involving such ...zero point problems of monotone ... See full document

... the fixed point x ∗ , which solves the quadratic minimization problem ...explicit iterative algorithm to studying the existence problem and the approximation problem of the solution to the ... See full document

... a common element of the set of solution of 1.26 and the set of common fixed points of finite many nonexpansive mappings in a Hilbert ...hybrid iterative scheme for finding a ... See full document

... converges weakly to some z ∈ T – () provided that the control sequence satisfies some restrictions. Further, using this result, they also investigated the case that T = ∂f , where f : H → (–∞, ∞] is a proper lower ... See full document

... feasibility problems (see, ...following iterative scheme for finding a common element of the set of solutions to problem ...set solutions of an equilibrium problem, and the set of fixed ... See full document

... an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse ... See full document

... explicit iterative schemes for finding a common element of the set of the solutions of the MIP ...strong convergence of the se- quences generated by the proposed schemes to a common ... See full document

... viscosity iterative algorithm (see ...strong convergence theorems of the sequence generated by the algorithm to a zero of the sum of two monotone operators and fixed point of mappings ... See full document

... where C is a nonempty closed convex subset of a Hilbert space, and h : C → R is a convex and lower semi-continuous functional. We use to denote the solution set of the prob- lem (.). Let F : C × C → R be a ... See full document

... Theorem . Let C be a nonempty closed convex subset of a Hilbert space H and let F be a bifunction from C × C to R which satisfies (A)-(A). Let A : C → H be an α -inverse- strongly monotone mapping, B : C → H be ... See full document

... an iterative method for finding a common element of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion ... See full document

... synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x * of finite family of ... See full document

... a common fixed point x ∗ ∈ F(T ) , where F(T ) denotes the set of common fixed point of the nonexpansive ...The point x * solves the variational in-equality 〈(g f −A ) x* ... See full document

... In this paper, we suggested and analyzed an iterative method for finding an element of the common set of solutions of (.) and (.) in real Hilbert spaces. This method can be viewed as ... See full document

... investigate common solutions of fixed point problems and zero points of the sum of two monotone operators based on a viscosity splitting ...Strong convergence theorems for the ... See full document

... strong convergence theorems for finding a common element of the set of solutions of a finite family of split equilibrium problems and the set of common fixed points of a countable family ... See full document

... of fixed points of S by ...of fixed points of a nonexpansive ...both Hilbert and Banach ...an iterative scheme of finding the best approximation to the initial data when EPF is nonempty and ... 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 ... See full document