Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A,η)-Maximal Relaxed Monotone Operators [PDF]
We introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces.
Ting-jian Xiong, Heng-you Lan
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Existence Result for Nonlinear Initial Value Problems Involving the Difference of Two Monotone Functions [PDF]
In this paper, monotone iterative technique for nonlinear initial value prob-lems involving the difference of two functions is developed. As an application ofthis technique, existence of solution of nonlinear initial value problems involvingthe ...
J.A. Nanware
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We introduce and study a new class of nonlinear general -monotone operator equations with multivalued operator. By using Alber's inequalities, Nalder's results, and the new proximal mapping technique, we construct some new perturbed iterative ...
Lan Heng-you, Zhang Xian-jun, Wei Xing
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In a real uniformly convex and uniformly smooth Banach space, some new monotone projection iterative algorithms for countable maximal monotone mappings and countable weakly relatively non-expansive mappings are presented.
Li Wei, Ravi P. Agarwal
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Iterative Solutions for the Differential Equation with p-Laplacian on Infinite Interval
This paper systematically investigates a class of fourth-order differential equation with p-Laplacian on infinite interval in Banach space. By means of the monotone iterative technique, we establish not only the existence of positive solutions but also ...
Guoying Zhao, Ying Wang
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In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator.
Xinguang Zhang +3 more
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Monotone Iterative Technique for First-Order Nonlinear Periodic Boundary Value Problems on Time Scales [PDF]
We investigate the following nonlinear first-order periodic boundary value problem on time scales: xΔ(t)+p(t)x(σ(t))=f(t,x(t)), t∈[0,T]T, x(0)=x(σ(T)). Some new existence criteria of positive solutions are established by using
Ya-Hong Zhao +3 more
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Mixed Monotone Iterative Technique for Abstract Impulsive Evolution Equations in Banach Spaces [PDF]
By constructing a mixed monotone iterative technique under a new concept of upper and lower solutions, some existence theorems of mild -periodic ( -quasi) solutions for abstract impulsive evolution equations are obtained in ordered Banach spaces. These
Yang He, He Yang
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Two step inertial Tseng method for solving monotone variational inclusion problem
In this paper, we examine the monotone variational inclusion problem with a maximal monotone operator and a Lipschitz continuous monotone operator. We propose two different iterative algorithms for solving the monotone variational inclusion problem ...
Lehlogonolo Mokaba +2 more
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The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations [PDF]
summary:In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it
Nieto, Juan J., Liz, E.
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