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.
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© 2001 Springer-Verlag Berlin Heidelberg
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Djafari-Rouhani, B., Tarafdar, E., Watson, P.J. (2001). Fixed Point Theorems, Coincidence Theorems and Variational Inequalities. In: Hadjisavvas, N., MartÃnez-Legaz, J.E., Penot, JP. (eds) Generalized Convexity and Generalized Monotonicity. Lecture Notes in Economics and Mathematical Systems, vol 502. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56645-5_12
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DOI: https://doi.org/10.1007/978-3-642-56645-5_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41806-1
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