Normal Families and Fixed Points of Iterates

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

Fixed Points Results via Iterates of Four Maps in TVS-valued Cone Metric Spaces

: We obtain common fixed points of four mappings satisfying a contractive type condition by demonstrating the convergence of their sequence of iterates in TVS valued cone metric spaces. Our results generalize some well-known recent results in the literature.

Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.

Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...

Periodic Points of Latitudinal Sphere Maps

For the maps of the two-dimensional sphere into itself that preserve the latitude foliation and are differentiable at the poles, lower estimates of the number of fixed points for the maps and their iterates are obtained. Those estimates also show that the growth rate of the number of fixed points of the iterates is larger than or equal to the logarithm of the absolute value of the degree of the...