Results 1 to 10 of about 44 (34)
On a new approach of enriched operators. [PDF]
HeliyonWe establish the existence and uniqueness of fixed points of generalized contractions in the setting of Banach spaces and prove the convergence of Mann iteration for this general class of mappings.
Turcanu T, Postolache M.
europepmc +2 more sources
Equivalence of Certain Iteration Processes Obtained by Two New Classes of Operators
Mathematics, 2021 The aim of this paper is two fold: the first is to define two new classes of mappings and show the existence and iterative approximation of their fixed points; the second is to show that the Ishikawa, Mann, and Krasnoselskij iteration methods defined for
Mujahid Abbas +2 more
exaly +3 more sources
Fractal and Fractional, 2023 An efficient numerical algorithm is developed for solving nonlinear functional Volterra integral equations. The core idea is to define an appropriate operator, then combine the Krasnoselskij iterative scheme with collocation at discrete points and the ...
Chinedu Nwaigwe, Sanda Micula
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Characterization for the Convergence of Krasnoselskij Iteration for Non-Lipschitzian Operators
International Journal of Mathematics and Mathematical Sciences, 2008 We establish the convergence of Krasnoselskij iteration for various classes of non-Lipschitzian operators.
Stefan M Soltuz, B E Rhoades
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A unified fixed point approach for enriched bivariate mappings with applications to volterra systems and fractional-order chaos. [PDF]
PLoS OneWe develop a unified fixed point theory for enriched bivariate contractions in ordered Banach spaces and in ordered convex metric spaces. Two classes of mappings are introduced and analysed: enriched bivariate Ciric-Reich-Rus contractions (𝒞BCRRCe) and ...
Ahmad K +5 more
europepmc +2 more sources
The Equivalence Between the Krasnoselskij, Mann and Ishikawa Iterations
Revue d'analyse numérique et de théorie de l'approximation, 2006 We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converges, for certain classes of strongly pseudocontractive mappings.
Stefan M Soltuz, B E Rhoades
exaly +4 more sources
The Equivalence Between T-Stabilities of Krasnoselskij and Ishikawa Iterations
Revue d'analyse numérique et de théorie de l'approximation, 2008 We prove the equivalence between the \(T\)-stabilities of Krasnoselskij and Ishikawa iterations; a consequence is the equivalence with the \(T\)-stability of Picard-Banach iteration.
Stefan M Soltuz
exaly +4 more sources
Fixed Point Theory and Applications, 2010 We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators.
Zhiqun Xue
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Fixed point results of enriched interpolative Kannan type operators with applications
Applied General Topology, 2022 The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains the classes of enriched Kannan operators, interpolative Kannan type contraction operators and some other classes of ...
Mujahid Abbas +2 more
doaj +1 more source
Sensitive Ant Algorithm for Edge Detection in Medical Images
Applied Sciences, 2021 Nowadays, reliable medical diagnostics from computed tomography (CT) and X-rays can be obtained by using a large number of image edge detection methods.
Cristina Ticala +2 more
doaj +1 more source