Results 41 to 50 of about 399,091 (169)
Iterative Algorithms for the Split Problem and Its Convergence Analysis
Now, it is known that the split common fixed point problem is a generalization of the split feasibility problem and of the convex feasibility problem. In this paper, the split common fixed point problem associated with the pseudocontractions is studied ...
Zhangsong Yao +3 more
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Fixed point theory and nonlinear problems [PDF]
This survey paper by a person who helped to shape the field described in the title begins with historical remarks about the evolvement of (analytic) degree theory and its importance to nonlinear problems. Then the author outlines the degree theory for continuous maps in \({\mathbb{R}}^ n\).
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For finding a common fixed point of a finite family of G-nonexpansive mappings, we implement a new parallel algorithm based on the Ishikawa iteration process with the inertial technique. We obtain the weak convergence theorem of this algorithm in Hilbert
Phakdi Charoensawan +3 more
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Perturb Extended GQVI provide natural, unified, simple and novel context to study an extensive class of equilibrium problems arising in various fields. In this work, we familiarize and study a number of new and known computational approaches to solve new
Ziyad Ali Alhussain
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Viscosity Approximation Methods for Fixed-Points Problems
The aim of this work is to propose viscosity approximation methods which amounts to selecting a particular fixed-point of a given nonexpansive self-mapping.
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Double solutions of three-point boundary-value problems for second-order differential equations
A double fixed point theorem is applied to yield the existence of at least two nonnegative solutions for the three-point boundary-value problem for a second-order differential equation, $$displaylines{ y'' + f(y)=0,quad 0 leq t leq 1,cr y(0) =0,quad y(p)
Johnny Henderson
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Existence of solutions for second-order differential equations and systems on infinite intervals
We study the existence of nontrivial solutions to the boundary-value problem $$displaylines{ -u''+cu'+lambda u = f(x,u),quad -infty <x<+infty , cr u(-infty )=u(+infty ) =0 }$$ and to the system $$displaylines{ -u''+c_1u'+lambda _1u = f(x,u ...
Toufik Moussaoui, Radu Precup
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Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem
We introduce the generalized split common fixed point problem (GSCFPP) and show that the GSCFPP for nonexpansive operators is equivalent to the common fixed point problem.
Cuijie Zhang
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New Existence and Uniqueness Results for Fractional Differential Equations
In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence and uniqueness results are obtained by using Banach fixed point theorem.
Anber Ahmed, Belarbi Soumia
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Fixed point theorems and tiling problems
Let (X,d) be a complete metric space and let f : X ? X satisfy inf{?(x,y)d( fm(x), fm(y)) : m ? J}? Kd(x,y) for all x,y ? X and some K ? (0,1) and ? : X x X ? [0,?), where J is a set of positive integers. In this paper, we prove fixed point theorems for this mapping f.
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