arXiv subjects

Chunyan Yang

Publications and source records attributed to Chunyan Yang.

5 recordsLinked to original sources

arXiv2026

A new partial differential nonlinear system containing quasivariational and parabolic variational inequalities and its application

We study a new nonlinear system which contains a partial differential equation, a quasivariational inequality and a parabolic variational inequality in Banach spaces. We obtain the unique solvability of the coupled system under moderate conditions by using the Banach's fixed point theorem. We employ the main results to investigate a viscoelastic frictional contact problem with long-memory effects, wear processes, and damage phenomenon.

math.AP↗

arXiv2025

The existence and stability for a class of fuzzy fractional boundary value problems constrained by variational inequalities

In this paper, the existence and stability of a new system consisting of fuzzy fractional differential inclusions (FFDIs) with integral boundary conditions and variational inequalities are considered in Euclidean spaces. This system integrates the features of both FFDIs with integral boundary conditions and fractional differential variational inequalities in a unified framework. The existence of solutions for this system is established under some mild conditions. Moreover, the semicontinuity of the solution map for the perturbed system is investigated with respect to parameter perturbations. Finally, we use two numerical examples to show the validity of the above theoretical findings.

math.OC↗

arXiv2023

Nash's Existence Theorem for Non-compact Strategy Sets

This paper generalizes the Fan-Knaster-Kuratowski-Mazurkiewicz (FKKM) lemma to the case of weak topology, and obtains the Ky Fan minimax inequality defined on non-empty non-compact convex subsets in reflexive Banach spaces, then we apply it to game theory and obtain Nash's existence theorem for non-compact strategy sets, together with John von Neumann's existence theorem in two-player zero-sum games.

math.FA↗

arXiv2012

New Existence Theorems about the Solutions of Some Stochastic Integral Equations

Picard's iteration has been used to prove the existence and uniqueness of the solution for stochastic integral equations, here we use Schauder's fixed point theorem to give a new existence theorem about the solution of a stochastic integral equation, our theorem can weak some conditions gotten by applying Banach's fixed point theorem.

math.FA↗

arXiv2012

A New Fixed Point Theorem for Non-expansive Mappings and Its Application

We use $KKM$ theorem to prove the existence of a new fixed point theorem for non-expansive mapping:Let M be a bounded closed convex subset of Hilbert space H, and $A:M\rightarrow M$ be a non-expansive mapping, then exists a fixed point of A in M, we also apply this Theorem to study the solution for an integral equation,we can weak some conditions comparing with Banach's contraction principe.

math.FA↗