On Expansive Mappings

On the Length of the Periods of Non-expansive Mappings

Upper bounds are given for the maximum period of periodic solutions of non-expansive mappings in the Banach space (IR n ; j j) with 1 < < 1. Basic in the derivation of these upper bounds are a theorem of Banach on rotations 2] and a geometric property of (IR n ; j j) for 6 = 2 5]. This paper provides a valid proof of a conjecture which appeared in 9]. Some remarks are made about what is diieren...

Modified Halpern Iteration of Asymptotically Non-Expansive Mappings

Common Fixed Points for Expansive Mappings in Cone Metric Spaces

Common fixed point results are obtained for pairs of expansive mappings in cone metric spaces. Thus, various results from metric spaces are extended to this new setting. Mathematics Subject Classification: 47H10, 54H25

Fixed Point Results for Multi-valued Non-expansive Mappings on an Unbounded Set

Some results regarding the existence of a fixed point for a multivalued non-expansive mapping defined on an unbounded subset of a reflexive Banach space are established.

Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....