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Generalized equilibrium problem with mixed relaxed monotonicity

Rizvi HA 1 , Kılıçman A 2 , Ahmad R 1

Affiliations 

  • 1 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
  • 2 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Selangor, Malaysia
ScientificWorldJournal, 2014;2014:807324.
PMID: 25121137 DOI: 10.1155/2014/807324

Abstract

We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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