A VARIANT OF A FIXED POINT THEOREM OF BROWDER-FAN AND REICH

V. M. Sehgal

《International Journal of Mathematics and Mathematical Sciences》 1985卷 (1985/12) Pp. 693-696

https://doi.org/10.1155/S0161171285000771

並列摘要

Let S be a convex, weakly compact subset of a locally convex Hausdorff space (E,τ) and f: S→E be a continuous multifunction from its weak topology ω to τ. Let p be a continuous seminorm on (E,τ) and for subsets A, B, of E, let p(A, B) = inf p(x-y): x ε A, y ε B}. In this paper, sufficient conditions are developed for the existence of an x ε S satisfying p(x, fx) = p(fx, S). The result is then used to prove several fixed point theorems.

並列關鍵字

Multifunctions ； convex topology ； fixed points