1School of Basic Sciences and Research, Sharda University, Greater Noida, NCR-201306, Uttar Pradesh, India
2Department of Mathematics, Aligarh Muslim University, Aligarh-202002, Uttar Pradesh, India
*Corresponding Author E-mail Id: mrahman96@yahoo.com
In this paper, we introduce a new notion of relaxed α – β – C – monotonicity for bi-mappings. It has been shown that the α — β — C — monotonicity is a proper generalisation of monotonicity. Using the KKM technique, we obtain the existence of solutions for generalised mixed vector equilibrium problem with relaxed α — β — C —monotonicity in reflexive Banach spaces. Some examples are also given.
Mixed vector equilibrium problem, Relaxed α - β - C -monotone, KKM theorem, C-convex, Skew symmetry, Hemicontinuous, Completely continuous
