Clarke-Type Directional Derivatives and their Applications to Generalized Convexity and Optimality Conditions in Non-Lipschitz Settings

Desingularizing Functions in Convex Programming and Convergence of an Abstract Gradient Descent Algorithm

This paper introduces an approach to study what is called the canonical conditioner μf, the continuity, Lipschitz continuity, differentiability, and subdifferentiability properties of μf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}

A Uniquely Solvable, Positivity-Preserving and Unconditionally Energy Stable Second-Order Backward Differentiation Formula Scheme for the Functionalized Cahn–Hilliard Equation with Logarithmic Potential

Mixed Local and Nonlocal Quasilinear Equation with Critical Nonlinearities on Compact Riemannian Manifolds

Lipschitz p-Summability and Linear Factorizations for Metric Spaces Through Banach Spaces

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...

Exact preservation criteria and Frobenius theory for polynomial-coefficient Riemann–Liouville operators on fractional power spaces