1Department of Applied Mathematics, ZHCET, Aligarh Muslim University, Aligarh, 202002, India
2School of Basic Sciences & Research, Sharda University, Greater Noida, NCR-201306, India
3Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India
(*Corresponding Author) E-mail-id: *haider.alig.abbas@gmail.com
In this paper, we extend the vectorial version of Ekeland-type variational principle. As applications, we prove some existence results for a generalised vector equilibrium problem and a fixed point problem in Hilbert spaces. In support of extended vectorial version of Ekeland-type variational principle, we have constructed an example.
Ekeland-type variational principle, Equilibrium, Solution, Scalarisation function, Fixed point, 46N10, 58E35, 58E30, 65K10, 90C33
