INVARIANT MEANS AND FIXED POINT PROPERTIES OF SEMIGROUP OF NONEXPANSIVE MAPPINGS

Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces

The purpose of this article is to introduce two iterative algorithms for finding a common fixed point of a semigroup of asymptotically nonexpansive mappings which is a unique solution of some variational inequality. We provide two algorithms, one implicit and another explicit, from which strong convergence theorems are obtained in a uniformly convex Banach space, which admits a weakly continuou...

Fixed Point Theorems for a Semigroup of Total Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

In this paper, we provide existence and convergence theorems of common fixed points for left (or right) reversible semitopological semigroups of total asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results announced by other authors.

Common fixed point theorem for nonexpansive type single valued mappings

The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...

Finding Minimum Norm Fixed Point of Nonexpansive Mappings and Applications

Iterative algorithms for finding fixed point of nonexpansive mappings are very interesting topic due to the fact that many nonlinear problems can be reformulated as fixed point equations of nonexpansive mappings. Related works can be found in 1–32 . On the other hand, we notice that it is quite often to seek a particular solution of a given nonlinear problem, in particular, the minimum-norm sol...

Approximating fixed points of generalized nonexpansive mappings