Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps

Approximate Fixed Point Sequences and Convergence Theorems for Lipschitz Pseudocontractive Maps

Let K be a nonempty closed convex subset of a real Banach space E and T be a Lipschitz pseudocontractive self-map of K with F (T ) := {x ∈ K : Tx = x} 6= ∅. An iterative sequence {xn} is constructed for which ||xn − Txn|| → 0 as n → ∞. If, in addition, K is assumed to be bounded, this conclusion still holds without the requirement that F (T ) 6= ∅. Moreover, if, in addition, E has a uniformly G...

Approximate fixed point theorems for Geraghty-contractions

The purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on Geraghty-contraction. In this paper,denitions of approximate -pair fixed point for two maps Tα , Sα and theirdiameters are given in a metric space.

Convergence Theorems and Stability Results for Lipschitz Strongly Pseudocontractive Operators

APPROXIMATE FIXED POINT IN FUZZY NORMED SPACES FOR NONLINEAR MAPS

We de ne approximate xed point in fuzzy norm spaces and prove the existence theorems, we also consider approximate pair constructive map- ping and show its relation with approximate fuzzy xed point.

Convergence Theorems of Common Fixed Points for Pseudocontractive Mappings

where E∗ denotes the dual space of E and 〈·, ·〉 denotes the generalized duality pairing. In the sequel, we denote a single-valued normalized duality mapping by j. Throughout this paper, we use F T to denote the set of fixed points of the mapping T . ⇀ and → denote weak and strong convergence, respectively. Let K be a nonempty subset of E. For a given sequence {xn} ⊂ K, let ωω xn denote the weak...