Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators
Abstract We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example…
Nonlinear analysis
The equivalence between the T-stabilities of Mann and Ishikawa iterations
Abstract We show that T-stability of Mann and Ishikawa iterations are equivalent. AuthorsB.E. Rhoades S.M. Soltuz (Tiberiu Popoviciu Institute of…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps
AbstractThe convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map
AbstractThe convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive…
Methods of Newton and Newton-Krylov type
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…
Common fixed points for Presic operators via simulation functions
AbstractIn this paper, using the concept of simulation function we present existence and uniqueness results for coincidence and common fixed…
Some fixed point results regarding convex contractions of Presić type
AbstractIn the present paper, we introduce new types of Presić operators. These operators generalize the well-known Istrăţescu mappings, known as…
On some fixed point theorems for multi-valued operators by altering distance techique
AbstractThe aim of this paper is to present some sufficient conditions for the existence and uniqueness of fixed points for…
Fixed point theorems for generalized contraction mappings on b-rectangular metric spaces
AbstractIn the present article, we study some fixed point theorems for a hybrid class of generalized contractive operators in the…
On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
AbstractIn this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent…