Inverse problems in image processing are typically cast as optimization tasks, consisting of
data fidelity and stabilizing regularization terms. A recent regularization strategy of great …

In this paper, we study the problem of finding a common solution of the pseudomonotone
variational inequality problem and fixed point problem for demicontractive mappings. We …

Demicontractive operators form an important class of nonexpansive type mappings whose
study led researchers to the creation of some beautiful results in the framework of metric …

In this paper we present some suggestions for unifying the terminology of the mappings
appearing in fixed point iterative methods for the case when the setting is a metric space. We …

The subgradient extragradient method can be considered as an improvement of the
extragradient method for variational inequality problems for the class of monotone and …

Our contribution in this paper is to propose an iterative algorithm which does not require
prior knowledge of operator norm and prove strong convergence theorem for approximating …

The purpose of this paper is to study and analyze two different kinds of extragradient-
viscosity-type iterative methods for finding a common element of the set of solutions of the …

Motivated and inspired by the works of Ceng et al.(2010) and Yao and Postolache (2012),
we first study a relaxed inertial Tseng's method for finding a common element of the set of …

In this article, we take a look at the recent results of Moudafi (Inverse Probl 26: 587–600,
2010), Tang et al.(Math Model Anal 17: 457–466, 2012) and Wang and Cui (Math Model …

Based on the technique of enriching contractive type mappings, a technique that has been
used successfully in some recent papers, we introduce the concept of a saturated class of …