Mixed Monotone Operators
On Fixed Point Theorems of Mixed Monotone Operators
... Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in ...of operators in Banach spaces and obtained a lot of interesting and important ...of mixed monotone ...
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Fixed point theorems for the sum of three classes of mixed monotone operators and applications
... Mixed monotone operators are an important class of operators which are used intensively in engineering, nuclear physics, biology, chemistry, technology, ...of operators in Banach spaces ...
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EXISTENCE AND UNIQUENESS OF TRIPLED FIXED POINTS FOR MIXED MONOTONE OPERATORS WITH PERTURBATIONS AND APPLICATION
... of mixed monotone operators with ...of mixed monotone operators with perturbations on ordered Banach spaces, and then we will get the existence and uniqueness of tripled fixed ...
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New Fixed Point Theorems for Mixed Monotone Operators with Perturbation and Applications
... for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems, Journal of Mathematical Analysis and Applications, 382 (2), 2011, 594– ...
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Some new results for single-valued and multi-valued mixed monotone operators of Rhoades type
... Khojasteh, F, Razani, A: Fixed point theorems for single-valued and multi-valued mixed monotone operators of Meir-Keeler type. Nonlinear Convex Anal[r] ...
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New Fixed Point Theorems of Mixed Monotone Operators and Applications to Singular Boundary Value Problems on Time Scales
... of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point boundary value problem on time ...
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Fixed point theorems for a class of mixed monotone operators with convexity
... that mixed monotone operators were introduced by Guo and Laksh- mikantham [] in ...the mixed monotone operators considered in most of these papers are concave; see [–, –, ...
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New Fixed Point Theorems of Mixed Monotone Operators
... Mixed monotone operators were introduced by Dajun Guo and ...of operators in Banach spaces and obtained a lot of interesting and important ...e-concave-convex mixed monotone ...
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Some fixed-point theorems for mixed monotone operators in partially ordered probabilistic metric spaces
... In this paper, some fixed-point theorems for nonlinear contractive operators in partially ordered Menger probabilistic metric spaces are proved. A new extension theorem of the probabilistic versions of Boyd and ...
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A class of φ-concave operators and applications
... conclusions. Mixed mono- tone operators were introduced by Guo and Lakshmikantham [] in ...for mixed monotone operators; for details, see [, , , –] and references ...for ...
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Fixed points of multi-valued monotone operators and the solvability of a fractional integral inclusion
... It is well known that mixed monotone operators were introduced by Guo and Laksh- mikantham [] in . Later, Bhaskar and Lakshmikantham [] introduced the notation of coupled fixed point and proved ...
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Coupled common fixed point results under new nonlinear contractions in ordered G-metric spaces
... The present paper deals with the establishment of some coupled common fixed point results for mixed monotone operators satisfying new nonlinear contractions in ordered G-metric spaces. The mappings ...
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Existence and uniqueness of fixed point for mixed monotone ternary operators with application
... Fixed point theory has fascinated hundreds of researchers since with the celebrated Banach fixed point theorem. It is well known that mixed monotone operators were in- troduced by Guo and ...
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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 ...
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Uniqueness of positive solutions for several classes of sum operator equations and applications
... where f (x, u), g(x, u) are allowed to be singular on ∂. In [], by using the properties of cones and a fixed point theorem for mixed monotone operators, we established the exis- tence and uniqueness ...
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Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces
... Starting from the results in [], our main aim in this paper is to obtain more general coupled fixed point theorems for mixed monotone operators F : X × X → X satisfying a generalized Meir-Keeler ...
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Finite difference schemes with monotone operators
... maximal monotone in H and their domains satisfy the condition (intD(A)) ∩ D(B) = Φ , then A + B is maximal monotone (see [11, Theorem ...maximal monotone, then A is demiclosed, that is, from [x n , y ...
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On expressibility of non monotone operators in SPARQL
... Expressive power of SPARQL and its fragments is an- other fundamental problem that has been studied exten- sively: it is known, for example, that SPARQL as a whole has the same expressive power as first-order logic and ...
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An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
... Let E be a Banach space with norm · , let E ∗ denote the dual of E and let x, f denote the value of f ∈ E ∗ at x ∈ E. Let T : E → E ∗ be an operator. The problem of finding v ∈ E satisfying 0 ∈ Tv is connected with the ...
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Eigenvalues of quasibounded maximal monotone operators
... maximal monotone operators, as a gener- alization of linear self-adjoint ...maximal monotone op- erators started with a pioneer work of Minty [] and has been extensively developed, with applications ...
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