Abstract

We present new quasi-nonexpansive mappings involving pseudomonotone bifunctions defined on convex sets in real Hilbert space. We investigate some properties concerning their fixed point sets. Some applications to equilibrium problems are discussed.

Author information

Contact details are reproduced from the original publication and may be historical.

Le Dung Muu

TIMAS, Thang Long University, Hanoi, Vietnam
and: Institute of Mathematics, VAST, Hanoi

ldmuu@math.ac.vn

Keywords

  • Convexity
  • pseudomonotonicity
  • quasi-nonexpansive mapping
  • fixed point
  • equilibria

Mathematics Subject Classification

47J25, 47N10, 90C25

Suggested citation

T. V. Anh, L. D. Muu. “Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets.” Journal of Convex Analysis 25 (2018), No. 4, 1105–1119. https://doi.org/10.68381/jca25070

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Published by Heldermann Verlag, 2018. Rights now held by Banach Press.