Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2018 / Cilt: 2 - Sayı: 1
Some problems in the fixed point theory
- Pages
- 1–10
- DOI
- —
Abstract
In this paper we present some of my favorite problems, all the time open, in the fixed point theory. Theseproblems are in connection with the following two: Which properties have the fixed point equations for which an iterative algorithm is convergent ? Let us have a fixed point theorem, T, and an operator f (single or multivalued) which does not satisfythe conditions in T. In which conditions the operator f has an invariant subset Y such that the restrictionof f to Y , fY , satisfies the conditions of T ?