Inertial Projected Subgradient Splitting Algorithm for Equilibrium Problems

A Two-Step Inertial Subgradient Extragradient Method for Solving Non-Monotone Variational Inequality Problems in Reflexive Banach Spaces

In this paper, we introduce a novel two-step iterative algorithm based on a double inertial subgradient extragradient method for solving non-monotone variational inequality problems in reflexive Banach spaces. Without imposing any monotonicity conditions on the cost operator, we establish strong convergence of the prop...

A Modified Self-Adaptive Subgradient Extragradient Technique for Solving Variational Inequality in Real Hilbert Spaces

A modified self adaptive inertial subgradient extragradient algorithm for solving a pseudomonotone variational inequality and fixed point problems in real Hilbert spaces was introduced. The strong convergence of the sequence generated by the algorithm proposed was established under some convenient conditions. Some nume...

A unified inertial framework for parallel solution of bilevel variational inequalities

A DYNAMIC SIMULTANEOUS ALGORITHM FOR SOLVING SPLIT EQUALITY MONOTONE VARIATIONAL INCLUSION PROBLEMS

This paper introduces a dynamic simultaneous iterative scheme for solving split equality monotone variational inclusion problems in real Hilbert spaces, where the associated operators are assumed to be firmly quasi-non expan-sive. Under appropriate conditions on the parameters, we prove that the generated sequence conv...

A Hybrid Inertial Method for Variational Inequalities with Applications to Traffic Flow Models

In this paper, we introduce a hybrid inertial algorithm for solving variational inequality problems and split common fixed point problems in real Hilbert spaces. The proposed method combines inertial and viscosity techniques within a unified framework and extends several existing iterative schemes. Under appropriate co...

Modified inertial self-adaptive techniques for the split feasibility problem