Generalized Implicit Set-Valued Variational Inclusion Problem with ? Operation

Rais Ahmad, Imran Ali, Saddam Husain, A. Latif and Ching-Feng Wen
Additional contact information
Rais Ahmad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Imran Ali: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Saddam Husain: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
A. Latif: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Ching-Feng Wen: Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan

Mathematics, 2019, vol. 7, issue 5, 1-14

Abstract: In this paper, we consider a resolvent operator which depends on the composition of two mappings with ⊕ operation. We prove some of the properties of the resolvent operator, that is, that it is single-valued as well as Lipschitz-type-continuous. An existence and convergence result is proven for a generalized implicit set-valued variational inclusion problem with ⊕ operation. Some special cases of a generalized implicit set-valued variational inclusion problem with ⊕ operation are discussed. An example is constructed to illustrate some of the concepts used in this paper.

Keywords: algorithm; implicit; inclusion; set-valued mapping; ? operation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/5/421/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/5/421/ (text/html)

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:gam:jmathe:v:7:y:2019:i:5:p:421-:d:230080

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().