Geodesic
Vector Equilibrium Problems With New Types of Generalized Monotonicity
Yugoslav journal of operations research, Tome 23 (2013) no. 2, p. 213 .

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In this paper, we introduce the concept of generalized relaxed $\alpha$-pseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed $\alpha$-pseudomonotonicity assumptions in reflexive Banach spaces. Several examples are provided to illustrate our investigations.
Classification : 49J40, 47H10, 91B52, 90C30
Keywords: Vector equilibrium problem, generalized relaxed $alpha$-pseudomonotonicity, KKM mapping. 
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Nihar Kumar Mahato; Chandal Nahak. Vector Equilibrium Problems With New Types of Generalized Monotonicity. Yugoslav journal of operations research, Tome 23 (2013) no. 2, p. 213 . http://geodesic.mathdoc.fr/item/YJOR_2013_23_2_a5/