Results 61 to 70 of about 358 (190)
Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming
Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari +2 more
wiley +1 more source
Application of the penalty function method to generalized convex programs [PDF]
, 2007 We use the penalty function method to study duality in generalized convex (invex) programming. In particular, we will obtain a new derivation under which the generalized convex (invex) programs do not have duality ...
Nahak, Chandal
core +1 more source
Pre-Invexity and Fuzzy Fractional Integral Inequalities via Fuzzy Up and Down Relation [PDF]
, 2023 The symmetric function class interacts heavily with other types of functions. One of these is the pre-invex function class, which is strongly related to symmetry theory.
Saeid Jafari +4 more
core +1 more source
Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran +6 more
wiley +1 more source
Approximations of objective function and constraints in bi-criteria optimization problems
Journal of Numerical Analysis and Approximation Theory, 2018 In this paper we study approximation methods for solving bi-criteria optimization problems. Initial problem is approximated by a new one which has the components of the objective and the constraints are replaced by their approximation functions ...
Traian Ionut Luca, Dorel I. Duca
doaj +2 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 +4 more
wiley +1 more source
Higher-order duality for multiobjective programming problem involving (Φ,ρ)-invex functions [PDF]
, 2015 In the present article, we formulate two different kinds of higher-order dual models related to the multi-objective programming problem containing arbitrary norms.
Jayswal, Anurag, Kummari, Krishna
core +1 more source
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 +5 more
wiley +1 more source
A new method of solving nonlinear mathematical programming problems involving r-invex functions [PDF]
, 2005 A new approach to a solution of a nonlinear constrained mathematical programming problem involving r-invex functions with respect to the same function η is introduced.
Antczak, Tadeusz
core +1 more source
Pain Research and Management, Volume 2026, Issue 1, 2026.Background Medication‐overuse headache (MOH) is a disabling secondary headache arising from frequent acute medication intake in individuals with preexisting primary headache. Behavioral and psychosocial factors may perpetuate medication overuse.
Pannathat Soontrapa +4 more
wiley +1 more source