## Related Articles

- Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings. Klin-eam, Chakkrid; Suantai, Suthep // Fixed Point Theory & Applications;2009, Special section p1
We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence...

- Hybrid Algorithm of Fixed Point for Weak Relatively Nonexpansive Multivalued Mappings and Applications. Jingling Zhang; Yongfu Su; Qingqing Cheng // Abstract & Applied Analysis;2012, p1
The purpose of this paper is to present the notion of weak relatively nonexpansive multivalued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces. The weak relatively nonexpansive multivalued mappings are...

- Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators. Klin-eam, Chakkrid; Suantai, Suthep; Takahashi, Wataru // Abstract & Applied Analysis;2009, Special section p1
We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybridmethod. Moreover we apply our main results to obtain strong...

- Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications. Zi-Ming Wang; Kumam, Poom // Journal of Applied Mathematics;2013, p1
Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. As applications, convex feasibility problems,...

- Strong Convergence Theorems of Multivalued Nonexpansive Mappings and Maximal Monotone Operators in Banach Spaces. Wattanawitoon, Kriengsak; Witthayarat, Uamporn; Kumam, Poom // International MultiConference of Engineers & Computer Scientists;2013, Vol. 2, p1
In this paper, we prove a strong convergence theorem for fixed points of sequence for multivalued nonexpansive mappings and a zero of maximal monotone operator in Banach spaces by using the hybrid projection method. Our results modify and improve the recent results in the literatures.

- Strong Convergence Theorems of Multivalued Nonexpansive Mappings and Maximal Monotone Operators in Banach Spaces. Wattanawitoon, Kriengsak; Witthayarat, Uamporn; Kumam, Poom // Proceedings of the International MultiConference of Engineers & ;2013, p1
In this paper, we prove a strong convergence theorem for fixed points of sequence for multivalued nonexpansive mappings and a zero of maximal monotone operator in Banach spaces by using the hybrid projection method. Our results modify and improve the recent results in the literatures.

- Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems. Saewan, Siwaporn; Kumam, Poom; Cho, Yeol // Journal of Global Optimization;Dec2013, Vol. 57 Issue 4, p1299
In this paper, we introduce a new hybrid iterative scheme for finding a common element of the set of zeroes of a maximal monotone operator, the set of fixed points of a relatively quasi-nonexpansive mapping, the sets of solutions of an equilibrium problem and the variational inequality problem...

- Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces. Chin-Tzong Pang; Eskandar Naraghirad; Ching-Feng Wen // Journal of Applied Mathematics;2014, p1
We study Mann type iterative algorithms for finding fixed points of Bregman relatively nonexpansive mappings in Banach spaces. By exhibiting an example, we first show that the class of Bregman relatively nonexpansive mappings embraces properly the class of Bregman strongly nonexpansive mappings...

- Multidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem. Li, Xia; Guo, Meifang; Su, Yongfu // SpringerPlus;11/24/2016, Vol. 5 Issue 1, p1
In this article, a new multidirectional monotone hybrid iteration algorithm for finding a solution to the split common fixed point problem is presented for two countable families of quasi-nonexpansive mappings in Banach spaces. Strong convergence theorems are proved. The application of the...

- A New Hybrid Method for Equilibrium Problems, Variational Inequality Problems, Fixed Point Problems, and Zero of Maximal Monotone Operators. Wang, Yaqin // Journal of Applied Mathematics;2012, p1
We introduce a new hybrid iterative scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality, the set of solutions of the generalized mixed equilibrium problem, and zeros of...