Mixed Monotone Operator
Mixed monotone operator methods for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
... for mixed monotone operators with perturbation to show the exis- tence and uniqueness of positive solutions for FBVP ...on mixed monotone operators with perturbation to study the existence and ...
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Some coupled coincidence point theorems for a mixed monotone operator in a complete metric space endowed with a partial order by using altering distance functions
... a mixed monotone map- ping and proved some coupled fixed point theorems for the mixed monotone map- ...a mixed g-monotone mapping and proved coupled coincidence point results for ...
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Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
... D β + , D γ + , D μ + , D v + are the standard Riemann-Liouville derivatives. By using the fixed point theorem of the mixed monotone operator, the authors obtained the uniqueness of the positive ...
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Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
... of mixed monotone operator in cone, we have established the uniqueness of positive solutions for a class of singular fractional dif- ferential equations with integral boundary ...
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Unique iterative positive solutions for a singular p-Laplacian fractional differential equation system with infinite-point boundary conditions
... of mixed monotone operator, some existence results are obtained for the case where the nonlinear- ity is allowed to be singular in regard to not only time variable but also space variable and the ...
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Fixed Point for t−φ(t,u,v) Mixed Monotone Model Operator
... In this paper, we will study the existence and uniqueness of fixed point of a kind of mixed monotone operator. The resulting conclusion essentially improves the relevant results obtained by [3,8]. As ...
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New Fixed Point Theorems of Mixed Monotone Operators
... Mixed monotone operator is an important nonlinear ...of mixed monotone operators in partially ordered Banach spaces requires compactness, continuity or concavity-convexity of the ...
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Iterative Methods for Solving the Nonlinear Matrix Equation X A*XpA B*X qB=I (0p,q
... I < p q < always has the unique positive definite solution. In the process, we need to use the fixed point theorem for mixed monotone operator in a normal cone. So we first introduce the ...
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On a sign-changing solution for some fractional differential equations
... a mixed monotone operator, the existence results of positive solutions for singular and nonsingular nonlinear fractional differential equation boundary value problems are ob- ...
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Existence and Uniqueness of Positive Solutions for Fourth Order Nonlinear Singular Sturm Liouville Problems
... a mixed monotone operator, we study boundary value problems to non- linear singular fourth-order differential equations, and provide sufficient conditions for the exis- tence and uniqueness of ...
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Generalized set valued variational like inclusions involving H(⋅,⋅) η cocoercive operator in Banach spaces
... resolvent operator technique to propose and analyze the iterative algorithms for computing the approximate solutions of different kinds of varia- tional ...generalized monotone operators, called H ...
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The sum of two maximal monotone operator is of type FPV
... Throughout this paper, we assume that X is a real Banach space with norm k.k, that X ∗ is the continuous dual of X, and that X and X ∗ are paired by h., .i. Let A : X ⇒ X ∗ be a set-valued operator(also known as ...
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Existence and approximation of solutions for system of generalized mixed variational inequalities
... The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm ...
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Coupled fixed point theorems on partially ordered G-metric spaces
... Proof It is sufficient to take z = u and w = v in Theorem . Corollary Let (X, ) be a partially ordered set and (X, G) be a G-metric space such that (X, G) is G-complete. Let F : X × X → X and g : X → X be two mappings ...
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Cancellability and regularity of operator connections with applications to nonlinear operator equations involving means
... for operator connections in a natural ...to operator mono- tone functions, Borel measures, and certain operator equations are ...nonlinear operator equations involving opera- tor ...associated ...
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Mixed samples, mixed distributions and the monotone likelihood ratio property
... "MIXED SAMPLES, MIXED DISTRIBUTIONS AND THE MONOTONE LIKELIHOOD RATIO PROPERTY" by JOHN DOUGLAS RICKARD A Thesis presented to the Australian National University for the Degree of Master of Science STA[.] ...
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On Fixed Point Theorems of Mixed Monotone Operators
... Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in ...of mixed monotone operators in Banach spaces partially ordered by a ...
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Monotone traveling waves for reaction-diffusion equations involving the curvature operator
... curvature operator is used to define acceleration; in the undamped case, () has been recently studied by several authors [, , , ...a monotone motion between two ...
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Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
... It is important to notice that this considerably differs from the case of “mixed- monotone situation”. Namely, as was shown in [11], in this case only some particular combinations are possible (in ...
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Slowly Oscillating Solutions for Differential Equations with Strictly Monotone Operator
... The authors discuss necessary and sufficient conditions for the existence and uniqueness of slowly oscillating solutions for the di ff erential equation u + F(u) = h(t) with strictly monotone operator. ...
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