Fixed points, index, and degree for some set valued functions

Continuous Dependence on Parameters of the Fixed Points Set for some Set -Valued Operators

In this paper we extend the notion of I0−continuity and uniform I − continuity from [2] to set-valued operators. Using these properties, we prove some results on continuous dependence of the fixed points set for families of contractive type set-valued operators. Mathematics Subject Classification (1991). 47H04, 34A60, 47H10.

Fixed Points for Multi-valued Functions on Snake-like Continua

fibre is the re-dimensional complex projective space (complex projective co-tangent bundle). This bundle of complex dimension 2re + l is our M. Considering the fibre of T(V) as the (2w+2)-dimensional real vector space, we take as P the co-tangent sphere bundle over V (i.e., the fibre of P is a sphere in the fibre of T(V)). T(V) — V is the principal fibre bundle associated with a line bundle L o...

Some fixed points for J-type multi-valued maps in CAT(0) spaces

In this paper, we prove the existence of fixed point for J-type multi-valuedmap T in CAT(0) spaces and also we prove the strong convergence theoremsfor Ishikawa iteration scheme without using the xed point of involving map.

Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings

Some Structure Theorems for Inverse Limits with Set-valued Functions

We investigate inverse limits with set-valued bonding functions. We generalize theorems of W. T. Ingram and William S. Mahavier, and of Van Nall, on the connectedness of the inverse limit space. We establish a fixed point theorem and show that under certain conditions, inverse limits with set-valued bonding functions can be realized as ordinary inverse limits. We also obtain some results that a...