Generalised Mixed Vector Equilibrium Problem with New Relaxed Monotonicity
Abul Hasan Siddiqi, Mijanur Rahaman, Rashmi Bhardwaj · Indian Journal of Industrial and Applied Mathematics · 2014
In this paper, we introduce a new notion of relaxed a – ß – C – monotonicity for bi-mappings. It has been shown that the a — ß — 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 a — ß — C —monotonicity in reflexive Banach spaces. Some examples are also given.