Superattracting fixed points of quasiregular mappings

Approximating fixed points of generalized nonexpansive mappings

Böttcher Coordinates at Superattracting Fixed Points of Holomorphic Skew Products

Let f : (C2, 0) → (C2, 0) be a germ of holomorphic skew product with a superattracting fixed point at the origin. If it has a suitable weight, then we can construct a Böttcher coordinate which conjugates f to the associated monomial map. This Böttcher coordinate is defined on an invariant open set whose interior or boundary contains the origin.

Fixed Points of Composite Entire and Quasiregular Maps

We give a new proof of the result that if f and g are entire transcendental functions, then f ◦g has infinitely many fixed points. The method yields a number of generalizations of this result. In particular, it extends to quasiregular maps in R.

Solutions of variational inequalities on fixed points of nonexpansive mappings

n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.

EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS

In this study, we introduce the classes of $phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $Phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $Phi$-pseudocontra...