Search results for "alpha-admissible mapping"

showing 3 items of 3 documents

Admissible perturbations of alpha-psi-pseudocontractive operators: convergence theorems

2016

In the last decades, the study of convergence of fixed point iterative methods has received an increasing attention, due to their performance as tools for solving numerical problems. As a consequence of this fact, one can access to a wide literature on iterative schemes involving different types of operators; see [2, 4, 5]. We point out that fixed point iterative approximation methods have been largely applied in dealing with stability and convergence problems; see [1, 6]. In particular, we refer to various control and optimization questions arising in pure and applied sciences involving dynamical systems, where the problem in study can be easily arranged as a fixed point problem. Then, we …

Discrete mathematicsDynamical systems theoryIterative methodGeneral Mathematics010102 general mathematicsGeneral EngineeringHilbert spacePerturbation (astronomy)Krasnoselskij type fixed point iterative schemeFixed point01 natural sciences010101 applied mathematicssymbols.namesakeSettore MAT/08 - Analisi Numericaalpha-psi-pseudocontractive operatorFixed point problemSettore MAT/05 - Analisi Matematicaalpha-admissible mappingsymbolsApplied mathematicsIterative approximation0101 mathematicsApplied scienceMathematics
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Admissible perturbations of alpha-psi-pseudocontractive operators: convergence theorems

2015

In the last decades, the study of convergence of fixed point iterative methods has received an increasing attention, due to their performance as tools for solving numerical problems. As a consequence of this fact, one can access to a wide literature on iterative schemes involving different types of operators; see [2, 4, 5]. We point out that fixed point iterative approximation methods have been largely applied in dealing with stability and convergence problems; see [1, 6]. In particular, we refer to various control and optimization questions arising in pure and applied sciences involving dynamical systems, where the problem in study can be easily arranged as a fixed point problem. Then, we …

Settore MAT/08 - Analisi NumericaSettore MAT/05 - Analisi Matematicaalpha-admissible mapping alpha-psi-pseudocontractive operator Hilbert space Krasnoselskij type iterative scheme.
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Fixed point theorems for twisted (α,β)-ψ-contractive type mappings and applications

2013

The purpose of this paper is to discuss the existence and uniqueness of fixed points for new classes of mappings defined on a complete metric space. The obtained results generalize some recent theorems in the literature. Several applications and interesting consequences of our theorems are also given.

alpha-admissible mapping contractive mapping cyclic mapping ordered metric space functional equationsDiscrete mathematicsSettore MAT/05 - Analisi MatematicaGeneral MathematicsFixed-point theoremUniquenessType (model theory)Fixed pointCoincidence pointComplete metric spaceMathematicsFilomat
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