J. Korean Math. Soc. 2002; 39(4): 579-591
Printed July 1, 2002
Copyright © The Korean Mathematical Society.
Ravi P. Agarwal, Donal O'Regan, and Sehie Park
Florida Institute of Technology, National University of Ireland, Seoul National University
New fixed point results for the $\mathfrak A_c^\kappa\,$ selfmaps are given. The analysis relies on a factorization idea. The notion of an essential map is also introduced for a wide class of maps. Finally, from a new fixed point theorem of ours, we deduce some equilibrium theorems.
Keywords: admissible class of multimaps, (approximate) extension space, Schauder admissible set, essential map, quasi-variational inequality
MSC numbers: 47H10, 54C60, 54H25, 55M20
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd