Vector equilibrium problems with new types of generalized monotonicity

Authors

  • Nihar Kumar Mahato Department of Mathematics, Indian Institute of Technology Kharagpur Kharagpur, India
  • Chandal Nahak Department of Mathematics, Indian Institute of Technology Kharagpur Kharagpur, India

DOI:

https://doi.org/10.2298/YJOR130107024M

Keywords:

vector equilibrium problem, generalized relaxed ®-pseudomonotonicity, KKM mapping

Abstract

In this paper, we introduce the concept of generalized relaxed ®- pseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed ®-pseudomonotonicity assumptions in reflexive Banach spaces. Several examples are provided to illustrate our investigations.

References

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Published

2013-06-01

Issue

Vol. 23 No. 2 (2013)

Section

Research Articles

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