Solving variational inequalities over solutions of split equality common fixed point problems for demicontractive mappings

An iterative method for bilevel variational inequalities problem with g-fixed point constraints in Banach spaces

This study investigates an inertial approach designed to address the bilevel variational inequality problem that incorporates a g-fixed point condition in real reflexive Banach spaces. The underlying mapping for the low-level variational inequality is continuous pseudomonotone, while the g-fixed point constraint is han...

Critical quasilinear elliptic systems with convex subcritical perturbations

We study a class of Dirichlet problems for coupled quasilinear elliptic systems driven by the p–Laplacian in a bounded domain, where the nonlinear terms split into a critical homogeneous part and a convex subcritical perturbation. Using variational methods, a nonlinear eigenvalue theory based on the Fadell–Rabinowitz Z...

Fixed point properties of strongly quasi-nonexpansive mappings and cutters

On the existence and multiplicity of positive solutions for singular elliptic problems involving the variable-order fractional Laplacian

A novel fixed point theorem in quasi-metric spaces with applications to the Cauchy problem for nonhomogeneous equations

Improved Inertial Bregman Extragradient Algorithms for Non-Lipschitz Quasi-Monotone Variational Inequality Problems in Reflexive Banach Spaces