Convergence theorems for multivalued Φ-hemicontractive operators and Φ-strongly accretive operators

Φ-strongly Accretive Operators

Suppose that X is an arbitrary real Banach space and T : X → X is a Lipschitz continuous φ-strongly accretive operator or uniformly continuous φ-strongly accretive operator. We prove that under different conditions the three-step iteration methods with errors converge strongly to the solution of the equation Tx = f for a given f ∈ X.

Convergence Theorems for the Zeros of a Finite Family of Generalized Φ-accretive Operators

A strong convergence theorem for the common zero for a finite family of Generalized Lipschitz operators in a uniformly smooth Banach space is proved when atleast one of the operator is Generalized Φaccretive, using a new iteration formula. Similar result for Generalized Lipschitz and Generalized Φpseudocontractive map is also proved. Our result extends the convergence results of Chidume [4] to ...

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

Convergence Theorems and Stability Results for Lipschitz Strongly Pseudocontractive Operators

φ-factorable operators and weyl-heisenberg frames on lca groups