Results 41 to 50 of about 767,552 (139)

New classes of generalized invex monotonicity [PDF]

Journal of Inequalities and Applications, 2006
The paper is devoted to the definition of new clases of generalized invex monotone and invex cocoercive mappings. After the first introductory section, a preliminary one is given containing all the definitions concerning generalized monotonicity; invexity and invex monotonicity required for the study.
Xu B, Zhu DL
openaire   +3 more sources

Inequalities for Products of Two Kinds of Convexities and Consequent Results

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman, Hala H. Taha, Waqas Nazeer, Jongsuk Ro, Smritijit Sen   +4 more
wiley   +1 more source

Some New Hermite–Hadamard–Type Inequalities Using the Erdélyi–Kober Fractional Integral Operator for Mappings Defined on Harmonic Sets With Applications to Error Estimates of Numerical Integration Formulas

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we establish several new variants of the Hermite–Hadamard integral inequality, together with various product‐type extensions, by employing the Erdélyi–Kober fractional integral operator for mappings defined on harmonic sets. To demonstrate the validity and effectiveness of the obtained results, we present nontrivial numerical examples ...
Yahya Almalki, Waqar Afzal, Najla M. Aloraini, Ahmad Albaity, Joshua Kiddy K. Asamoah, Smritijit Sen   +5 more
wiley   +1 more source

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous, Waqas Nazeer, Waqar Afzal, Joshua Kiddy K. Asamoah, Hadeel AlQadi, Pramita Mishra   +5 more
wiley   +1 more source

Analysis of the Whiplash gradient descent dynamics

Asian Journal of Control, Volume 27, Issue 1, Page 27-40, January 2025.
Abstract In this paper, we propose the Whiplash inertial gradient dynamics, a closed‐loop optimization method that utilizes gradient information. We introduce the symplectic asymptotic convergence analysis for the Whiplash system for convex functions.
Subhransu S. Bhattacharjee, Ian R. Petersen   +1 more
wiley   +1 more source

Generalized α-invexity and nondifferentiable minimax fractional programming

, 2007
In this paper, we study a nondifferentiable minimax fractional programming problem under the assumptions of α-invex function. In this paper we utilize the concept of α-invexity [M.A.
Rautela, J.S., Pant, R.P., Mishra, S.K.
core   +1 more source

Fritz John type optimality and duality in nonlinear programming under weak pseudo-invexity [PDF]

, 2015
In this paper, we use a generalized Fritz John condition to derive optimality conditions and duality results for a nonlinear programming with inequality constraints, under weak invexity with respect to different (ηi)i assumption.
Mohammed Said Radjef, Slimani, Hachem, Radjef, Mohammed Said, Hachem Slimani   +3 more
core   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +2 more
wiley   +1 more source

On constraint qualifications with generalized convexity and optimality conditions [PDF]

This paper deals with a multiobjective programming problem involving both equality constraints in infinite dimensional spaces. It is shown that some constraint qualifications together with a condition of interior points are sufficient conditions for the ...
Do Van Luu, Manh-Hung Nguyen
core   +1 more source

Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan, Waqar Afzal, Mujahid Abbas, Kwara Nantomah, Ding-Xuan Zhou   +4 more
wiley   +1 more source