Izvorni znanstveni članak
Well-posedness for generalized mixed vector variational-like inequality problems in Banach space
Anurag Jayswal
; Department of Applied Mathematics, Indian Institute of Technology (ISM), Jharkhand, India
Shalini Jha
; Department of Applied Mathematics, Indian Institute of Technology (ISM), Jharkhand, India
Sažetak
In this article, we focus to study about well-posedness of a generalized mixed vector variational-like inequality and optimization problems with aforesaid inequality as constraint. We establish the metric characterization of well-posedness in terms of approximate solution set.Thereafter, we prove the sufficient conditions of generalized well-posedness by assuming the boundedness of approximate solution set. We also prove that the well-posedness of considered optimization problems is closely related to that of generalized mixed vector variational-like inequality problems. Moreover, we present some examples to investigate the results established in this paper.
Ključne riječi
Generalized mixed vector variational-like inequality problems; well-posedness; relaxed $\eta$-$\alpha$-$P$-monotonicity
Hrčak ID:
185989
URI
Datum izdavanja:
4.12.2017.
Posjeta: 1.207 *