The Gap Functions and Error Bounds of Solutions of a Class of Set-valued Mixed Variational Inequality and Related Algorithms

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 1

Abstract

In this paper, we extend a class of generalizedized mixed variational inequality problem, and we study the gap functions, error bounds of solutions and related algorithms of a class of set-valued mixed variational inequalities. In order to solve these problems, we establish the corresponding generalized resolvent equations and prove the equivalence between these problems. Finally, we give three iterative algorithms and analyze the convergence of algorithms.

Authors and Affiliations

Jinlu Li, Congjun Zhang, Weiqiang Gong, Guanghui Zhou

Keywords

Related Articles

Bayesian Rule of Multiple Hypothesis testing: Past and Present

The era of emerging mathematical techniques towards Hypothesis Testing is between 1908 to 2003. History of hypothesis testing is based on some distinct scientists which are discussed in this article. Several of work...

THE PERIOD OF 2-STEP AND 3-STEP SEQUENCES IN DIRECT PRODUCT OF MONOIDS

Let M and N be two monoids consisting of idempotent elements. By the help of the presentation which defines Mx N, the period of 2-step sequences and 3-step sequences in MxN is given.

Integral Variants of Jensen's Inequality for Convex Functions of Several Variables

The paper focuses on the derivation of the integral variants of Jensen's inequality for convex functions of several variables. The work is based on the integral method, using convex combinations as input, and set barycen...

On a fractional differemtial equation with Jumaries fractional derivative

By a counterexample, we prove that the results obtained in [1] are incorrect and there exist some theoretical mistakes in fractional complex transform.

The Real Matrices forms of the Bicomplex Numbers and Homothetic Exponential motions

In this paper, a bicomplex number is described in four- dimensional space and its a variety of algebraic properties is presented. In addition, Pauli-spin matrix elements corresponding to base the real matrices forms of t...

Download PDF file
  • EP ID EP651202
  • DOI 10.24297/jam.v4i1.2481
  • Views 199
  • Downloads 0

How To Cite

Jinlu Li, Congjun Zhang, Weiqiang Gong, Guanghui Zhou (2013). The Gap Functions and Error Bounds of Solutions of a Class of Set-valued Mixed Variational Inequality and Related Algorithms. JOURNAL OF ADVANCES IN MATHEMATICS, 4(1), 296-319. https://www.europub.co.uk/articles/-A-651202