A class of generalized mixed variational–hemivariational inequalities I: Existence and uniqueness results

Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application

‎This paper aims at establishing the existence and uniqueness of solutions for a nonstandard variational-hemivariational inequality. The solutions of this inequality are discussed in a subset $K$ of a reflexive Banach space $X$. Firstly, we prove the existence of solutions in the case of bounded closed and convex subsets. Secondly, we also prove the case when $K$ is compact convex subsets. Fina...

Existence and Uniqueness Solutions for a Class of Hemivariational Inequalities

This paper deals with the existence and uniqueness of results for a class of hemivariational inequality problem. β1(x,y)+β2(x,y)+ J0(x;y− x) 0. Moreover, we enhance the main results an application to the existence of solution for a differential inclusion.

Existence Results for General Mixed Quasivariational Inequalities

Existence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations

‎In this paper‎, ‎we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations‎. ‎By a priori estimates‎, ‎difference and variation techniques‎, ‎we establish the existence and uniqueness of weak solutions of this problem.

Existence and uniqueness results for a nonlinear differential equations of arbitrary order

This paper studies a fractional boundary value problem of nonlinear differential equations of arbitrary orders. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using Schaefer and Krasnoselskii fixed point theorems. In order to clarify our results, some illustrative examples are also presented.