3 citations · 3 across the 10 of their papers we have counts for
11 papers
A Double Inertial Forward-Backward Splitting Algorithm With Applications to Regression and Classification Problems
İrfan Işik, Ibrahim Karahan, Okan Erkaymaz
This paper presents an improved forward-backward splitting algorithm with two inertial parameters. It aims to find a point in the real Hilbert space at which the sum of a co-coerci…
A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problem
Ebru ALTIPARMAK, Ibrahim KARAHAN
Finding a zero of the sum of two monotone operators is one of the most important problems in monotone operator theory, and the forward-backward algorithm is the most prominent appr…
Image restoration using an inertial viscosity fixed point algorithm
Ebru ALTIPARMAK, Ibrahim KARAHAN
The image restoration problem is one of the popular topics in image processing studied by many authors on account of its applications in various areas. The aim of this paper is to…
Partial b_{v}(s) and b_{v}(θ) metric spaces and related fixed point theorems
Ibrahim Karahan, Irfan Isik
In this paper, we introduced two new generalized metric spaces called partial b_{v}(s) and b_{v}(θ) metric spaces which extend b_{v}(s) metric space, b-metric space, rectangular me…
Generalizations of Banach and Kannan Fixed point theorems in b_{v}(s) metric spaces
Ibrahim Karahan
Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized met…
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/…
A New Iterative Projection Method for Approximating Fixed Point Problems and Variational Inequality Problems
Ibrahim Karahan, Murat Ozdemir
In this paper, we introduce and study a new extragradient iterative process for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings a…