Results 21 to 30 of about 1,694 (263)
Nonlinear Analysis, 2020 By sequential techniques and mixed monotone operator, the uniqueness of positive solution for singular p-Laplacian fractional differential system with infinite-point boundary conditions is obtained. Green's function is derived, and some useful properties
Limin Guo, Lishan Liu, Yanqing Feng
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Operator monotone functions of several variables [PDF]
Mathematical Inequalities & Applications, 2003 We propose a notion of operator monotonicity for functions of several variables, which extends the well known notion of operator monotonicity for functions of only one variable. The notion is chosen such that a fundamental relationship between operator convexity and operator monotonicity for functions of one variable is extended also to functions of ...
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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
Advances in Difference Equations, 2020 We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen +5 more
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A Penalization-Gradient Algorithm for Variational Inequalities
International Journal of Mathematics and Mathematical Sciences, 2011 This paper is concerned with the study of a penalization-gradient algorithm for solving variational inequalities, namely, find x̅∈C such that 〈Ax̅,y-x̅〉≥0 for all y∈C, where A:H→H is a single-valued operator, C is a closed convex set of a real Hilbert ...
Abdellatif Moudafi, Eman Al-Shemas
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Two operator functions with monotone property [PDF]
Proceedings of the American Mathematical Society, 1991 This paper proves that F ( p ) = ( B r A p B r ) ( 1
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Nonlinear Analysis, 2022 This paper investigates the existence of a unique positive solution for a class of boundary value problems of p-Laplacian fractional differential equations, where its nonlinearity is signchanged and involves a fractional derivative term, and its ...
Wenxia Wang
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Monotone operator functions on arbitrary sets [PDF]
Proceedings of the American Mathematical Society, 1980 We give a new proof of a result of Chandler which shows that a monotone operator function defined on a set J admits an analytic continuation to the upper and lower half-planes, and that this continuation is a Pick function, real and regular on the convex hull of J.
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Hardy operator with variable limits on monotone functions
Journal of Function Spaces and Applications, 2003 We characterize weighted Lp-Lq inequalities with the Hardy operator of the form Hf(x)=∫a(x)b(x)f(y)u(y) dy with a non-negative weight function u, restricted to the cone of monotone functions on the semiaxis. The proof is based on the Sawyer criterion and
Vladimir D. Stepanov, Elena P. Ushakova
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Slowly Oscillating Solutions for Differential Equations with Strictly Monotone Operator
Journal of Inequalities and Applications, 2007 The authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the differential equation u'+F(u)=h(t) with strictly monotone operator.
Yali Guo, Chuanyi Zhang
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Fixed point theorems for sum operator with parameter
Journal of Inequalities and Applications, 2020 This paper develops some new existence and uniqueness theorems of a fixed point for a class of sum operator equations with parameter λ 1 A ( x , x ) + λ 2 B ( x , x ) + λ 3 C x + λ 4 D x = x $\lambda _{1}A(x,x)+\lambda _{2}B(x,x)+\lambda _{3}Cx+\lambda _{
Nan Zhang +3 more
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