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Paper   IPM / M / 730
School of Mathematics
  Title:   Fixed point theorems, coincidence theorems and variational inequalities
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
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.

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