[PDF] Top 20 An algorithm for treating asymptotically strict pseudocontractions and monotone operators

... Corollary . Let C be a nonempty closed convex subset of H. Let T : C → C be an asymp- totically nonexpansive mapping. Let A : C → H be an α-inverse-strongly monotone map- ping, and let B be a maximal ... See full document

... or of the same difficult as the original zero point problem. Therefore, one of the most inter- esting and important problems in the theory of monotone operators is to find an efficient iterative algorithm ... See full document

... maximal monotone operators has emerged as an effective and powerful tool for studying many real world problems arising in various branches of social, physi- cal, engineering, pure and applied sciences in ... See full document

... maximal monotone operators. Ac- tually, an algorithm for difference of two maximal monotone operators plays a central role in the study of DC programming [8, ...two monotone ... See full document

... 15 S. Reich, “A weak convergence theorem for the alternating method with Bregman distances,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, A. G. Kartsatos, Ed., vol. 178 ... See full document

... Recently, many authors have investigated the solution problems of nonlinear operator equations or inequalities based on iterative methods; see, for instance, [–] and the references therein. In [], Kamimura and ... See full document

... 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

... Corollary . Let C be a nonempty closed convex subset of H . Let F be a bifunction from C × C to R which satisfies (A)-(A) and let f : C → C be a κ-contraction. Let B : C → H be a β-inverse-strongly monotone ... See full document

... of monotone operators has appeared as a powerful and effective tool for studying a wide class of problems arising in different branches of social, engineering, and pure sciences in a unified and general ... See full document

... maximal monotone operator T , classical methods for doing this is the proximal point algorithm, proposed by Martinet [19] and generalized by Rockafellar ...are monotone operators on ... See full document

... 24. Alber, YI: Metric and generalized projection operators in Banach spaces: properties and applications. In: Kartsatos, AG (ed.) Theory and Applications of Nonlinear Operators of Accretive and ... See full document

... In this section, we introduce an implicit algorithm and prove this algorithm converges strongly to x ∗ which solves the VI 1.2. Let C be a nonempty closed convex subset of a real Hilbert space H. Let f : C ... See full document

... In this section, we show the convergence of the sequences {x n }, {y n } and {w n } defined by Algorithm 2.1 is based on the extragradient method and Armijo-type linesearch techniques which solves the problem of ... See full document

... In the present paper, we introduce a new approximation scheme combining the viscosity method with parallel method for finding a common element of the set of solutions of the generalized equilibrium problem and the set of ... See full document

... eralized asymptotically quasi-φ-nonexpansive mappings and the framework of spaces is extended from a uniformly smooth and uniformly convex Banach space to a uniformly smooth and strictly convex Banach ... See full document

... In this paper, an equilibrium problem and a fixed point problem of an asymptotically strict pseudocontraction are investigated based on hybrid iterative algorithms. Strong convergence theorems of common ... See full document

... iterative algorithm [6], Nadezhkina and Takahashi [7] introduced the follow- ing iterative scheme for finding a common element of F(S) ∩ Ω , the intersection of the set of fixed points of a nonexpansive mapping ... See full document

... Inspired and motivated by the recent work of Chang et al. [], Moudafi [, ], etc., the purpose of this paper is to propose an algorithm to solve the split common fixed point problems for total ... See full document

... CQ algorithm, Takahashi et ...CQ algorithm to study asymptotically κ-strict pseudocontractions and established the following interesting result with the help of some boundedness ...an ... See full document

... an asymptotically strict pseudocontraction in the intermediate sense and the solution set of a system of equilibrium problems in the framework of real Hilbert ... See full document