“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 730
School of Mathematics
  Title:   Fixed point theorems, coincidence theorems and variational inequalities
  Author(s): 
1.  B. Djafari-Rouhani
2.  E. Tarafdar
3.  P. J. Watson
  Status:   In Proceedings
  Proceeding: Generalized Convexity and Generalized Monotonicity
  Vol.:  502
  Year:  2001
  Pages:   183-188
  Editor:  N. Hadjisavvas, J. E. Martinez-Legaz, and Jean-Paul Penot, eds.
  Publisher(s):   Springer-Verlag, Berlin
  Supported by:  IPM
  Abstract:
We give a simple proof to an extension of a fixed point theorem of E Tarafdar [4] for multivalued mappings and show its equivalence to a KKM type result. A noncompact coincidence point theorem is also established. Applications of these results to establish the existence of solutions to variational inequalities in not necessarily reflexive Banach spaces are also considered.

Download TeX format
back to top
scroll left or right