5 papers
An explicit iterative method to solve generalized mixed equilibrium problem, variational inequality problem and hierarchical fixed point problem for a nearly nonexpansive mapping
Ibrahim Karahan
In this paper, we introduce a new iterative method to find a common solution of a generalized mixed equilibrium problem, a variational inequality problem and a hierarchical fixed p…
Weak and strong convergence theorems for generalized nonexpansive mappings
Safeer Hussain Khan, Ibrahim Karahan
We consider a class of generalized nonexpansive mappings introduced by Karapinar [5] and seen as a generalization of Suzuki (C)-condition. We prove some weak and strong convergence…
Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities
Ibrahim Karahan, Murat Ozdemir
This paper deals with a modifed iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings. Some strong converge…
Strong convergence with a modified iterative projection method for hierarchical fixed point problems and variational inequalities
Ibrahim Karahan, Murat Ozdemir
This paper deals with a modified iterative projection method for approximating a solution of the hierarchical fixed point problem for a sequene of nearly nonexpansive mappings with…
Weak Convergence Theorem by a New Extragradient Method for Fixed Point Problems and Variational Inequality Problems
Ibrahim Karahan, Murat Ozdemir
We introduce a new extragradient iterative process, motivated and inspired by [S. H. Khan, A Picard-Mann Hybrid Iterative Process, Fixed Point Theory and Applications, doi:10.1186/…