caa a22 4500 606233032 CHVBK 20210128101230.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10287-015-0239-9 doi (NATIONALLICENCE)springer-10.1007/s10287-015-0239-9 On composite vector variational-like inequalities and vector optimization problems [Elektronische Daten] [Anurag Jayswal, Shipra Singh, Sarita Choudhury] In this paper, we introduce a class of (weak) composite vector variational-like inequality problems and establish its relationship with composite vector optimization problem. We also prove the relation of a vector critical point in composite vector optimization problem with its weak efficient point, under the assumption of composite pseudo invexity. Using KKM Lemma, we derive result for existence of solutions of composite vector variational-like inequality problem. Furthermore, we define a gap function for the composite vector variational-like inequality problem and finally, as an application, we study a system of composite vector optimization problems and system of vector variational-like inequality problems, whose solutions imply the solution of Nash equilibrium problem. Examples are provided to illustrate the derived results. Springer-Verlag Berlin Heidelberg, 2015 Composite vector optimization problem nationallicence Composite invex function nationallicence Composite vector variational-like inequality problem nationallicence Composite properly quasi-monotone nationallicence Gap function nationallicence Nash equilibrium problem nationallicence Jayswal Anurag Department of Applied Mathematics, Indian School of Mines, 826 004, Dhanbad, Jharkhand, India aut Singh Shipra Department of Applied Mathematics, Indian School of Mines, 826 004, Dhanbad, Jharkhand, India aut Choudhury Sarita Department of Applied Mathematics, Indian School of Mines, 826 004, Dhanbad, Jharkhand, India aut Computational Management Science Springer Berlin Heidelberg 12/4(2015-10-01), 577-594 1619-697X 12:4<577 2015 12 10287 https://doi.org/10.1007/s10287-015-0239-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10287-015-0239-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jayswal Anurag Department of Applied Mathematics, Indian School of Mines, 826 004, Dhanbad, Jharkhand, India aut NATIONALLICENCE 700 1- Singh Shipra Department of Applied Mathematics, Indian School of Mines, 826 004, Dhanbad, Jharkhand, India aut NATIONALLICENCE 700 1- Choudhury Sarita Department of Applied Mathematics, Indian School of Mines, 826 004, Dhanbad, Jharkhand, India aut NATIONALLICENCE 773 0- Computational Management Science Springer Berlin Heidelberg 12/4(2015-10-01), 577-594 1619-697X 12:4<577 2015 12 10287