DIAGONAL CONVEXITY CONDITIONS FOR PROBLEMS IN CONVEX-ANALYSIS AND QUASI-VARIATIONAL INEQUALITIES

abstract

• Many theorems in convex analysis and quasi-variational inequalities can be derived by using a class of weaker convexity (concavity) conditions which require a functional (x, y) to be quasi-convex or convex for diagonal entries of certain type. In this paper, we discuss such conditions and use them to generalize several important theorems such as Ky Fan's inequality and saddle point theorem and some recent results in quasi-variational inequalities. 1988.

authors

• Chen, Goong
• Zhou, Jianxin

published proceedings

• JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

author list (cited authors)

• ZHOU, J. X., & CHEN, G. N.

citation count

• 134

complete list of authors

• ZHOU, JX||CHEN, GN

publication date

• May 1988

publisher

• Elsevier  Publisher

published in

• Journal of Mathematical Analysis and Applications  Journal

keywords

• 10 Reduced Inequalities
• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4903 Numerical And Computational Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1016/0022-247X(88)90054-6

start page

• 213

end page

• 225

volume

• 132

issue

• 1

URL

• http://dx.doi.org/10.1016/0022-247x(88)90054-6

user-defined tag

• 10 Reduced Inequalities