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Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation.

Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation.

Authors :
Ahmad, Rais
Ali, Imran
Husain, Saddam
Latif, A.
Wen, Ching-Feng
Source :
Mathematics (2227-7390); May2019, Vol. 7 Issue 5, p421, 1p
Publication Year :
2019

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
7
Issue :
5
Database :
Complementary Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
136754521
Full Text :
https://doi.org/10.3390/math7050421