Results 11 to 20 of about 146,193 (70)
The Equivalence between T-Stabilities of The Krasnoselskij and The Mann Iterations [PDF]
Fixed Point Theory and Applications, 2007 We prove the equivalence between the T-stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence with the T-stability of the Picard-Banach iteration.
Ştefan M. Şoltuz
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The Equivalence between
Fixed Point Theory and Applications, 2007 We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence with the -stability of the Picard-Banach iteration.
Şoltuz Ştefan M
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AxiomsIn the present study, we define hybrid enriched contractions of the Hardy–Rogers type and of the Ćirić–Reich–Rus type in the framework of convex metric space.
Bhumika Rani +2 more
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Fractal and FractionalIn this study, we introduce two new classes of contractions, namely enriched (I,ρ,χ)-contractions and generalized enriched (I,ρ,χ)-contractions, within the context of normed spaces. These classes generalize several well-known contraction types, including
Min Wang, Muhammad Din, Mi Zhou
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Modelling iteration in engineering design [PDF]
, 2012 This paper examines design iteration and its modelling in the simulation of New Product Development (NPD) processes. A framework comprising six perspectives of iteration is proposed and it is argued that the importance of each perspective depends upon ...
Eckert, C. M. +2 more
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Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems
Abstract and Applied Analysis, Volume 2023, Issue 1, 2023., 2023 This paper introduces a novel category of nonlinear mappings and provides several theorems on their existence and convergence in Banach spaces, subject to various assumptions. Moreover, we obtain convergence theorems concerning iterates of α‐Krasnosel’skiĭ mapping associated with the newly defined class of mappings. Further, we present that α‐Krasnosel’
Rahul Shukla, Rekha Panicker, Paul Eloe
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Mathematical Methods in the Applied Sciences, Volume 45, Issue 16, Page 9787-9798, 15 November 2022., 2022 In this paper, we study the simplest quadratic matrix equation: Q(X)=X2+BX+C=0$$ \mathcal{Q}(X)={X}^2+ BX+C=0 $$. We transform this equation into an equivalent fixed‐point equation, and based on it, we construct the Krasnoselskij method. From this transformation, we can obtain iterative schemes more accurate than the successive approximation method ...
Miguel Ángel Hernández‐Verón +1 more
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A new class of unsaturated mappings: Ćirić-Reich-Rus contractions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Using the technique of enriching contractive type mappings, we introduce a more general concept of enriched Ćirić-Reich-Rus contraction than the one studied in [Berinde, V.; Păcurar, M.
Berinde Vasile, Păcurar Mădălina
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, 2022 The close relationship between chaos and dynamical systems leads to naturally consider the iteration processes that are related to dynamical systems of fixed point theory.
Sekman, Derya, Karakaya, Vatan
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Mathematics, 2020 Nowadays, demicontractive operators in terms of admissible perturbation are used to solve difficult tasks. The current research uses several demicontractive operators in order to enhance the quality of the edge detection results when using ant-based ...
Cristina Ticala +2 more
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