Isomorphically expansive mappings in $l_2$

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

Modified Halpern Iteration of Asymptotically Non-Expansive Mappings

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....

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...

An iterative method for amenable semigroup and infinite family of non expansive mappings in Hilbert spaces

begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results present...