A System of Time-Dependent Hemivariational Inequalities with Volterra Integral Terms

Yi-bin Xiao (), Nan-jing Huang and Jue Lu
Additional contact information
Yi-bin Xiao: University of Electronic Science and Technology of China
Nan-jing Huang: Sichuan University
Jue Lu: Sichuan University

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 3, No 9, 837-853

Abstract: Abstract In this paper, we consider a system of time-dependent hemivariational inequalities with Volterra integral terms by using a surjectivity theorem for pseudomonotone operators and the Banach fixed point theorem, rather than the Knaster-Kuratowski-Mazurkiewicz theorems used by many researchers in recent literature for systems of hemivariational inequalities. Under some suitable conditions, the existence and uniqueness result of solution to the problem considered is obtained by proving that a derived vector inclusion problem with Volterra integral term is solvable.

Keywords: Time-dependent hemivariational inequalities; Volterra integral term; Pseudomonotone operator; Banach fixed point theorem; 47H10; 47J20; 49J52 (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-014-0602-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:165:y:2015:i:3:d:10.1007_s10957-014-0602-y

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-014-0602-y

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().