Invariant approximations, generalized I-non- expansive mappings and non-convex domain

Common Fixed Points and Invariant Approximations for Cq-commuting Generalized nonexpansive mappings

Some common fixed point theorems for Cq-commuting generalized nonexpansive mappings have been proved in metric spaces. As applications, invariant approximation results are also obtained. The results proved in the paper extend and generalize several known results including those of M. Abbas and J.K. Kim [Bull. Korean Math. Soc. 44(2007) 537-545], I. Beg, N. Shahzad and M. Iqbal [Approx. Theory A...

Modified Halpern Iteration of Asymptotically Non-Expansive Mappings

Fixed Point Theorems for Single Valued Mappings Satisfying the Ordered non-Expansive Conditions on Ultrametric and Non-Archimedean Normed Spaces

In this paper, some fixed point theorems for nonexpansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support our results.

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...

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...