Search results for "Functional equation"

showing 5 items of 15 documents

Cyclic admissible contraction and applications to functional equations in dynamic programming

2015

In this paper, we introduce the notion of T-cyclic $( \alpha ,\beta ) $ -contraction and give some common fixed point results for this type of contractions. The presented theorems extend, generalize, and improve many existing results in the literature. Several examples and applications to functional equations arising in dynamic programming are also given in order to illustrate the effectiveness of the obtained results.

Pure mathematicsApplied Mathematicsfunctional equationsOrder (ring theory)common fixed pointT-cyclic (alphabeta)-admissible mappingType (model theory)weakly compatible mappingAlgebraDynamic programmingAlpha (programming language)point of coincidenceDifferential geometrySettore MAT/05 - Analisi MatematicaCommon fixed pointGeometry and TopologyCoincidence pointTopology (chemistry)Mathematics
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Unitary Representations of U q (đ”°đ”©}(2,ℝ)),¶the Modular Double and the Multiparticle q -Deformed¶Toda Chain

2002

The paper deals with the analytic theory of the quantum q-deformed Toda chains; the technique used combines the methods of representation theory and the Quantum Inverse Scattering Method. The key phenomenon which is under scrutiny is the role of the modular duality concept (first discovered by L. Faddeev) in the representation theory of noncompact semisimple quantum groups. Explicit formulae for the Whittaker vectors are presented in terms of the double sine functions and the wave functions of the N-particle q-deformed open Toda chain are given as a multiple integral of the Mellin–Barnes type. For the periodic chain the two dual Baxter equations are derived.

Pure mathematicsUnitary representationChain (algebraic topology)Quantum groupLie groupDuality (optimization)Statistical and Nonlinear PhysicsFunctional equation (L-function)Quantum inverse scattering methodRepresentation theoryMathematical PhysicsMathematicsCommunications in Mathematical Physics
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Inequalities for Information Potentials and Entropies

2020

We consider a probability distribution p0(x),p1(x),&hellip

Recurrence relationprobability distributionGeneral MathematicsTsallis entropylcsh:Mathematics010102 general mathematicsLinear operatorsfunctional equationslcsh:QA1-93901 natural sciencesinformation potentialRĂ©nyi entropyCombinatorics010104 statistics & probabilityRĂ©nyi entropyinequalitiesComputer Science (miscellaneous)Order (group theory)Probability distribution0101 mathematicsTsallis entropyEngineering (miscellaneous)MathematicsMathematics
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Random Stability of an Additive-Quadratic-Quartic Functional Equation

2010

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x+2y)+f(x−2y)=2f(x+y)+2f(−x−y)+2f(x−y)+2f(y−x)−4f(−x)−2f(x)+f(2y)+f(−2y)−4f(y)−4f(−y) in complete random normed spaces.

Settore MAT/05 - Analisi MatematicaApplied Mathematicslcsh:MathematicsDiscrete Mathematics and Combinatoricslcsh:QA1-939AnalysisRandom normed space fixed point generalized Hyers-Ulam stability additive-quadratic-quartic functional equationJournal of Inequalities and Applications
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Fixed point theorems for twisted (α,ÎČ)-ψ-contractive type mappings and applications

2013

The purpose of this paper is to discuss the existence and uniqueness of fixed points for new classes of mappings defined on a complete metric space. The obtained results generalize some recent theorems in the literature. Several applications and interesting consequences of our theorems are also given.

alpha-admissible mapping contractive mapping cyclic mapping ordered metric space functional equationsDiscrete mathematicsSettore MAT/05 - Analisi MatematicaGeneral MathematicsFixed-point theoremUniquenessType (model theory)Fixed pointCoincidence pointComplete metric spaceMathematicsFilomat
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