Recently, the split inverse problem has received great research attention due to its several applications in diverse fields. In this paper, we study a new class of problems called variational inequality with multiple output sets. We propose Tseng extragradient method, which uses self-adaptive step sizes for approximating solution when cost operators are pseudomonotone and non-Lipschitz framewor...

Many applications in applied sciences and engineering can be considered as the convex minimization problem with sum of two functions. One most popular techniques to solve this is forward-backward algorithm. In work, we aim present a new version splitting algorithms by adapting Tseng’s extragradient method using linesearch technique inertial conditions. We obtain its convergence result under mil...

In this paper, using the concept of Bregman distance, we introduce a new subgradient extragradient method for solving equilibrium and common fixed point problems in real reflexive Banach space. The algorithm is designed, such that stepsize chosen without prior knowledge Lipschitz constants. We also prove strong convergence result sequence generated by our under mild conditions. apply to variati...

Abstract In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, projection contraction and viscosity method. The proposed method is used for solving quasimonotone variational inequality problems in infinite dimensional real Hilbert spaces such it does not depend on Lipschitz constant of cost operator. Further, prove strong convergence result...

<p style='text-indent:20px;'>Using the concept of Bregman divergence, we propose a new subgradient extragradient method for approximating common solution pseudo-monotone and Lipschitz continuous variational inequalities fixed point problem in real Hilbert spaces. The algorithm uses self-adjustment rule selecting stepsize each iteration also, prove strong convergence result sequence genera...

We introduce a new parallel hybrid subgradient extragradient method for solving the system of pseudomonotone equilibrium problem and common fixed point in real reflexive Banach spaces. The algorithm is designed such that its convergence does not require prior estimation Lipschitz-like constants finite bifunctions underlying problems. Moreover, strong result proven without imposing conditions on...

We study and introduce modified mann iterative algorithms for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of variational inequalities and the set of fixed points for nonexpansive semigroups. Then, we prove strong convergence theorems in a real Hilbert space by using the hybrid-extragradient type methods in the mathematical programm...