[PDF] Top 20 Iterative Approximation to Convex Feasibility Problems in Banach Space

... smooth Banach space and in 1994 he extended Wittmann’s result to those uniformly smooth spaces with a weakly sequentially continuous duality mapping (see Reich [12, Theorem and Remark ... See full document

... is a Bregman weak relatively nonexpansive mapping for each i = , , . . . , n. We then prove some strong convergence theorems for these mappings. Some application of our results to convex feasibility ... See full document

... for all x, y, z ∈ E. Let E be a strictly convex, smooth, and reflexive Banach space, and let J be the duality mapping from E into E ∗ . Then J −1 is also single-valued, one-to-one, and surjective, ... See full document

... We first prove the existence of a solution of the generalized equilibrium problem (GEP) using the KKM mapping in a Banach space setting. Then, by virtue of this result, we construct a hybrid algorithm for ... See full document

... the iterative approaches to CFP in Hilbert ...the convex feasibility problem by convex combinations of sunny nonexpansive retractions in uniformly convex Banach space see ... See full document

... operator and propose a generalized viscosity approximation method for solving the unconstrained convex optimization problems in a real Hilbert space H. We show that, under reasonable parameter ... See full document

... Furthermore, Moudafi and Thakur [] assumed f to be convex and allowed the function g to be nonconvex. In the case of indicator functions of subsets with A = I, such a situation is encountered in a numerical ... See full document

... an iterative scheme by the modification of Mann’s iteration process for finding a common element of the set of solutions of a finite family of variational inequality problems and the set of fixed points of an η ... See full document

... Many problems in mathematics, for example in physical sciences, in engineering and in real-world applications of various technological innovations can be modeled as ...Hilbert space with inner product and ... See full document

... equilibrium problems is established in a reflexive, strictly convex, and smooth Banach space such that both E and E ∗ have the Kadec-Klee ... See full document

... smooth Banach space. Let C be a nonempty closed convex subset of X, and let S : C → C be a nonexpansive mapping and T : C → C be a δ-strict pseudocontraction such that F(S) ∩ F(T) = ... See full document

... an iterative scheme for the approximation of zeros of bounded maximal monotone ...uniformly convex and uniformly smooth real Banach space and let E ∗ be its ... See full document

... the iterative methods for nonexpansive mappings have been applied to solve convex mini- mization problems; see, ...Hilbert space, whose inner product and norm are denoted by · , · and · , ... See full document

... norm and his dual space in the respective norm are strictly convex spaces). Moreover, the obtained results are used to prove some fixed-point theorems for sufficiently general mappings. It should be noted ... See full document

... where F is Fréchet differentiable operator at each point of D with values in a Banach space Y. A lot of problems about finding the solution of (1.1) are brought forward in many sciences and ... See full document

... given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the ...strictly convex spaces as those ones where a Chebyshev center cannot contribute to the set of ... See full document

... inverse problems which arise from medical image ...split feasibility problem (SFP) has received much attention due to its applications in signal processing, image reconstruction, approximation ... See full document

... metric space (X, d) is an isometry c : [, l] → X, where d(x, y) = l, such that c() = x and c(l) = ...metric space for which every two points can be joined by a geodesic segment is called a geodesic ... See full document

... uniformly convex and uniformly smooth Banach spaces and studied their properties in ...uniformly convex and uniformly smooth Banach spaces to reflexive Banach spaces, and established a ... See full document

... In this section, we establish several results which will be used for construction and sub- stantiation of an iterative solution method for problem (2.6). Recall that, on account of Proposition 2.2, this problem ... See full document