Variational iteration method: Green’s functions and fixed point iterations perspective
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Khuri, S. A., Sayfy, A.
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Stability of tripled fixed point iteration procedures for mixed monotone mappings
Recently, Berinde and Borcut [Berinde, V. and Borcut, M., Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (2011), 4889-4897] introduced the concept of tripled fixed point and by now, there
I. Timis
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Strong Convergence of Hybrid Algorithm for Asymptotically Nonexpansive Mappings in Hilbert Spaces
The hybrid algorithms for constructing fixed points of nonlinear mappings have been studied extensively in recent years. The advantage of this methods is that one can prove strong convergence theorems while the traditional iteration methods just have ...
Juguo Su, Yuchao Tang, Liwei Liu
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Escape Criterion Using Fixed Point Iteration with Applications in Fractal Generation [PDF]
This study employs the Picard-S3 iteration method, which proves to be particularly useful for visualizing and examining fractals, as well as investigating intricate dynamical systems. In the present paper, we focus on the complex polynomial function.
Sanjay Kumar Padaliya +3 more
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Hybrid Inertial Self-Adaptive Iterative Methods for Split Variational Inclusion Problems
Herein, we present two hybrid inertial self-adaptive iterative methods for determining the combined solution of the split variational inclusions and fixed-point problems.
Doaa Filali +3 more
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Strong Convergence Theorems for a Countable Family of Nonexpansive Mappings in Convex Metric Spaces
We introduce a new modified Halpern iteration for a countable infinite family of nonexpansive mappings {Tn} in convex metric spaces. We prove that the sequence {xn} generated by the proposed iteration is an approximating fixed point sequence of a ...
Withun Phuengrattana, Suthep Suantai
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Strongly Convergence of Two Iterations For a Common Fixed Point with an Application
In this paper, we study some cases of a common fixed point theorem for classes of firmly nonexpansive and generalized nonexpansive maps. In addition, we establish that the Picard-Mann iteration is faster than Noor iteration and we used Noor ...
Zahra Mahmood Mohamed Hasan +1 more
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Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems [PDF]
Doaa Filali +3 more
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Memory-friendly fixed-point iteration method for nonlinear surface mode oscillations of acoustically driven bubbles: from the perspective of high-performance GPU programming. [PDF]
Kalmár P +4 more
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Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces
The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to ...
Zhanfei Zuo
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