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Some results on variational inequalities and generalized equilibrium problems with applications

An iterative algorithm is considered for variational inequalities, generalized equilibrium problems and fixed point problems. Strong convergence of the proposed iterative algorithm is obtained in the framework Hilbert spaces. Mathematical subject classification: 47H05, 47H09, 47J25, 47N10.

Fixed point results for fractal generation in Noor orbit and s-convexity

In this note, we give fixed point results in fractal generation (Julia sets and Mandelbrot sets) by using Noor iteration scheme with s-convexity. Researchers have already presented fixed point results in Mann and Ishikawa orbits that are examples of one-step and two-step feedback processes respectively. In this paper we present fixed point results in Noor orbit, which is a three...

Proximal point algorithms for zero points of nonlinear operators

Yuan Qing 1 Sun Young Cho 0 0 Department of Mathematics, Gyeongsang National University , Jinju, 660-701, Korea 1 Department of Mathematics, Hangzhou Normal University , Hangzhou, 310036, China A

Approximating Iterations for Nonexpansive and Maximal Monotone Operators

. Acknowledgments The authors would like to thank the editor and the referees for the useful comments and suggestions. Sun Young Cho was supported by the Basic Science Research Program through the National Research

Approximating Iterations for Nonexpansive and Maximal Monotone Operators

useful comments and suggestions. Sun Young Cho was supported by the Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and

Approximating Iterations for Nonexpansive and Maximal Monotone Operators

useful comments and suggestions. Sun Young Cho was supported by the Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and

Convergence of splitting algorithms for the sum of two accretive operators with applications

We study a splitting algorithm for problems involving the sum of two accretive operators. We prove the strong convergence of the algorithm. Applications to variational inequality, fixed point, equilibrium, and minimization problems are provided.

A regularization algorithm for zero points of accretive operators

Yuan Qing 0 Sun Young Cho 1 0 Department of Mathematics, Hangzhou Normal University , Hangzhou, 310036, China 1 Department of Mathematics, Gyeongsang National University , Jinju, 660-701, Korea A

Strong convergence of a splitting algorithm for treating monotone operators

In this paper, we investigate a splitting algorithm for treating monotone operators. Strong convergence theorems are established in the framework of Hilbert spaces.

A regularization method for treating zero points of the sum of two monotone operators

In this paper, a regularization method for treating zero points of the sum of two monotone operators is investigated. Strong convergence theorems are established in the framework of Hilbert spaces.

Algorithms for treating equilibrium and fixed point problems

In this paper, a common solution problem is investigated based on a projection algorithm. Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically quasi-ϕ-nonexpansive mappings are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.

NPCARE: database of natural products and fractional extracts for cancer regulation

Background Natural products have increasingly attracted much attention as a valuable resource for the development of anticancer medicines due to the structural novelty and good bioavailability. This necessitates a comprehensive database for the natural products and the fractional extracts whose anticancer activities have been verified.DescriptionNPCARE (http://silver.sejong.ac.kr...

A Regularized Algorithm for the Proximal Split Feasibility Problem

is no conflict of interests regarding the publication of this paper. Acknowledgments The authors are grateful to the referees for their valuable comments and suggestions. Sun Young Cho was supported by

Some Results on Strictly Pseudocontractive Nonself-Mappings and Equilibrium Problems in Hilbert Spaces

: Yonghong Yao Copyright © 2012 Yan Hao and Sun Young Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and

Some Results on Strictly Pseudocontractive Nonself-Mappings and Equilibrium Problems in Hilbert Spaces

: Yonghong Yao Copyright © 2012 Yan Hao and Sun Young Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and

Iterative algorithms with errors for zero points of m-accretive operators

In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors. Strong convergence theorems for zeros of m-accretive operators are established in a real Banach space. MSC:47H05, 47H09, 47J25, 65J15.

Strong convergence of an iterative process for a family of strictly pseudocontractive mappings

In this article, fixed point problems of a family of strictly pseudocontractive mappings are investigated based on an iterative process. Strong convergence of the iterative process is obtained in a real 2-uniformly Banach space.MSC:47H09, 47J05, 47J25.

On the Convergence of Implicit Picard Iterative Sequences for Strongly Pseudocontractive Mappings in Banach Spaces

We study the convergence of implicit Picard iterative sequences for strongly accretive and strongly pseudocontractive mappings. We have also improved the results of Ćirić et al. (2009).

Hybrid Projection Algorithms for Asymptotically Strict Quasi-ϕ-Pseudocontractions

A new nonlinear mapping is introduced. Hybrid projection algorithms are considered for the class of new nonlinear mappings. Strong convergence theorems are established in a real Banach space.