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Generalized Equilibrium Problem with Mixed Relaxed Monotonicity [PDF]

open access: yesThe Scientific World Journal, 2014
We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities.
Haider Abbas Rizvi   +2 more
doaj   +2 more sources

Generalized Monotonicity Analysis [PDF]

open access: yesSSRN Electronic Journal, 2006
The authors consider a nonlinear equation \(f(x,t)=0,\) where \(x \in \mathbb R^{n}\) is a decision variable, \(t \in \mathbb R^{m}\) is a parameter, and \(f : \mathbb R^{n} \times \mathbb R^{m} \rightarrow \mathbb R^{n}\) is a smooth function and investigate monotonicity issues of the solution trajectory (path) \(x(t)\) (or some function \(\phi (x)\))
Strulovici, Bruno H., Weber, Thomas A.
openaire   +4 more sources

Monotonicity, concavity, and inequalities related to the generalized digamma function [PDF]

open access: yesAdvances in Difference Equations, 2018
In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.
Li Yin   +3 more
doaj   +2 more sources

Properties and Bounds of Jensen-Type Functionals via Harmonic Convex Functions

open access: yesJournal of Mathematics, 2021
Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as Jensen-type inequality for harmonic h-convex functions. In this paper, we aim to establish the functional form of
Aqeel Ahmad Mughal   +3 more
doaj   +1 more source

Curve-based monotonicity: a generalization of directional monotonicity [PDF]

open access: yesInternational Journal of General Systems, 2019
In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional space. These considerations lead us to the notion of α-monotonicity, where α is the corresponding curve.
Antonio-Francisco Roldán-López-de-Hierro   +6 more
openaire   +3 more sources

Generalized Proportional Reversed Hazards Model [PDF]

open access: yesThe Egyptian Statistical Journal, 2004
Inthis paper, we propose to generalized proportional reversed hazards model by Tsx*,t=[Ts,(X, t)]a, where Tsx*,tis baseline distribution func- tion and a is a positive real number.
M. Kayid, I. Elbatal
doaj   +1 more source

Radial symmetry for a generalized nonlinear fractional p-Laplacian problem

open access: yesNonlinear Analysis, 2021
This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou   +3 more
doaj   +1 more source

Generalized Nonlinear Variational Inclusions Involving (A,η)-Monotone Mappings in Hilbert Spaces

open access: yesFixed Point Theory and Applications, 2008
A new class of generalized nonlinear variational inclusions involving (A,η)-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with (A,η)-monotonicity, the ...
Yongfu Su   +3 more
doaj   +1 more source

Monotones in General Resource Theories

open access: yesCompositionality, 2023
A central problem in the study of resource theories is to find functions that are nonincreasing under resource conversions — termed monotones — in order to quantify resourcefulness. Various constructions of monotones appear in many different concrete resource theories. How general are these constructions? What are the necessary conditions on a resource
Tomás Gonda, Robert W. Spekkens
openaire   +3 more sources

Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving
Ju-Mei Zhang, Li Yin, Hong-Lian You
doaj   +1 more source

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