The homotopic invariance for fixed points of set-valued nonexpansive mappings
Brailey Sims, Hong‐Kun Xu, George Xianzhi Yuan · Institutional Repositories DataBase (IRDB) · 1999
The homotopic invariance of fixed points of set-valued contractions and nonexpansive mappings is studied.As application, nonlinear alternative principles are given.A Leray-Schauder alternative and an antipodal theorem for set-valued nonexpansive mappings are also included.' This paper was done while the second author was visiting the Department of Mathematics in both The University of Newcastle and The University of Queensland.tSupported in part by FRD (South Africa)."The corresponding author and supported in