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The Modified Block Iterative Algorithms for Asymptotically Relatively Nonexpansive Mappings and the System of Generalized Mixed Equilibrium Problems

خوارزميات الكتلة التكرارية المعدلة للتعيينات غير التوسعية نسبيًا ونظام مشاكل التوازن المختلط المعمم
Authors: Kriengsak Wattanawitoon; Poom Kumam;

The Modified Block Iterative Algorithms for Asymptotically Relatively Nonexpansive Mappings and the System of Generalized Mixed Equilibrium Problems

Abstract

The propose of this paper is to present a modified block iterative algorithm for finding a common element between the set of solutions of the fixed points of two countable families of asymptotically relatively nonexpansive mappings and the set of solution of the system of generalized mixed equilibrium problems in a uniformly smooth and uniformly convex Banach space. Our results extend many known recent results in the literature.

Keywords

Geometry, Set (abstract data type), asymptotically relatively nonexpansive mappings, common elements, Fixed-Point Problems, Mathematical analysis, Fixed-point theorems, Fixed Point Theorems in Metric Spaces, uniformly convex Banach space, QA1-939, FOS: Mathematics, Nonexpansive Mappings, block iterative algorithm, Iterative Algorithms, Numerical Analysis, Banach space, Numerical Optimization Techniques, Countable set, Numerical solutions to equations with nonlinear operators, fixed points, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Discrete mathematics, generalized mixed equilibrium problems, Applied mathematics, Multi-valued Mappings, Computer science, Iterative method, uniformly smooth Banach space, Programming language, Regular polygon, Algorithm, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Geometry and Topology, Mathematics, Block (permutation group theory), Mixed-Integer Nonlinear Programs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold