Invexity and generalized convexity
From MaRDI portal
Publication:3356568
DOI10.1080/02331939108843693zbMath0731.26009OpenAlexW1990037710MaRDI QIDQ3356568
Publication date: 1991
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331939108843693
Nonlinear programming (90C30) Convexity of real functions of several variables, generalizations (26B25)
Related Items (97)
Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions ⋮ Unnamed Item ⋮ Generalized \((\eta,\rho)\)-invex functions and global semiparametric sufficient efficiency conditions for multiobjective fractional programming problems containing arbitrary norms ⋮ Generalized \((\eta,\rho)\)-invex functions and semiparametric duality models for multiobjective fractional programming problems containing arbitrary norms ⋮ Generalized invariant monotonicity and invexity of non-differentiable functions ⋮ On harmonically \((p, h, m)\)-preinvex functions ⋮ Hermite-Hadamard type inequalities for \(MT_m\)-preinvex functions ⋮ Some Hermite–Hadamard type integral inequalities for multidimensional general preinvex stochastic processes ⋮ \(G\)-semipreinvexity and its applications ⋮ Fuzzy preinvex functions ⋮ Global parametric sufficient optimality conditions for discrete minmax fractional programming problems containing generalized \((\theta,\eta,\rho)\)-V-invex functions and arbitrary norms ⋮ New optimality conditions and duality results of \(G\) type in differentiable mathematical programming ⋮ On the strictly \(G\)-preinvex function ⋮ Some new Hermite-Hadamard type inequalities via \(k\)-fractional integrals concerning differentiable generalized relative semi-\((r;m,p,q,h_1,h_2)\)-preinvex mappings ⋮ On properties of geodesic \(\eta \)-preinvex functions ⋮ Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated \(s\)-preinvex in the second sense ⋮ Hermite-Hadamard type inequalities for generalized \((s,m,\varphi)\)-preinvex functions via \(k\)-fractional integrals ⋮ Unnamed Item ⋮ Some different type integral inequalities concerning twice differentiable generalized relative semi-\((r; m, h)\)-preinvex mappings ⋮ Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated extended \((s_1, m_1)\)-\((s_2, m_2)\)-preinvex ⋮ Fractional integral inequalities for generalized-\(\mathbf{m}\)-\(((h_1^p,h_2^q); (\eta_1,\eta_2))\)-convex mappings via an extended generalized Mittag-Leffler function ⋮ A class of \(r\)-semipreinvex functions and optimality in nonlinear programming ⋮ Unnamed Item ⋮ Hermite-Hadamard type integral inequalities for differentiable \(m\)-preinvex and (\(\alpha,m\))-preinvex functions ⋮ Hermite-Hadamard type fractional integral inequalities for generalized \((r; g, s, m, \varphi)\)-preinvex functions ⋮ On semi-\((B, G)\)-preinvex functions ⋮ Rayna's fractional integral operations on Hermite-Hadamard inequalities with \(\eta\)-\(G\)-preinvex functions ⋮ On vector variational-like inequalities and set-valued optimization problems ⋮ Some New Hermite–Hadamard Type Integral Inequalities via Caputo k–Fractional Derivatives and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Mappings and Their Applications ⋮ Global parametric sufficient efficiency conditions for semiinfinite multiobjective fractional programming problems containing generalized \((\alpha,\eta,\rho)\)-V-invex functions ⋮ Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions ⋮ Generalized invexity and generalized invariant monotonicity ⋮ Characterization of solution sets of quasiconvex programs ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Generalized ((h 1, h 2); (η 1, η 2))-Convex Mappings and Their Applications ⋮ MORE RESULTS ON HERMITE-HADAMARD TYPE INEQUALITY THROUGH (<i>α, m</i>)-PREINVEXITY ⋮ ERRATUM TO “MORE RESULTS ON HERMITE-HDAMARD TYPE INEQUALITIES THROUGH (<i>α,m</i>)-PREINVEXITY” ⋮ A class of \(G\)-semipreinvex functions and optimality ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ On some characterizations of preinvex fuzzy mappings ⋮ On set-valued optimization problems and vector variational-like inequalities ⋮ The KKT optimality conditions in a class of generalized convex optimization problems with an interval-valued objective function ⋮ Some new Hermite-Hadamard type inequalities via Caputo k-fractional derivatives concerning (n+1)-differentiable generalized relative semi-(r;m,h_1,h_2)-preinvex mappings ⋮ \(G\)-pre-invex functions in mathematical programming ⋮ Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives ⋮ Some Different Type Integral Inequalities and Their Applications ⋮ Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives ⋮ Hermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functions ⋮ Some New Ostrowski Type Integral Inequalities via General Fractional Integrals ⋮ G-saddle point criteria andG-Wolfe duality in differentiate mathematical programming ⋮ Uncertain fuzzy Ostrowski type inequalities for the generalized (s,m)-preinvex Godunova-Levin functions of second kind ⋮ On variational-like inequalities and global minimization problem ⋮ Generalized (F,β,Φ,ρ,θ) -univex functions and optimality conditions in semiinfinite fractional programming ⋮ Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated \((\log,(\alpha, m))\)-preinvex ⋮ New Trapezium Type Inequalities for Preinvex Functions Via Generalized Fractional Integral Operators and Their Applications ⋮ Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions ⋮ Higher order optimality conditions for inequality-constrained problems ⋮ Hermite-Hadamard type integral inequalities for functions whose second-order mixed derivatives are coordinated \((s, m)\)-\(P\)-convex ⋮ Semiparametric sufficient efficiency conditions for multiobjective fractional programming problems containing arbitrary norms ⋮ Semi-invex functions and their subdifferentials ⋮ On the relationships between \(G\)-preinvex functions and semistrictly \(G\)-preinvex functions ⋮ Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications ⋮ Ostrowski inequalities for functions whose first derivatives are logarithmically preinvex ⋮ Generalization of different type integral inequalities for generalized \((s,m)\)-preinvex Godunova-Levin functions ⋮ Generalized \((\rho,\theta)\)-\(\eta\)-invexity and generalized \((\rho,\theta)\)-\(\eta \)-invariant-monotonicity ⋮ Convexity along curves and indunvexity ⋮ Fractional Hermite-Hadamard type inequalities for co-ordinated prequasiinvex functions ⋮ Vector continuous-time programming without differentiability ⋮ On properties of preinvex functions ⋮ Semistrictly preinvex functions ⋮ Characterization of a condition related to a class of preinvex functions ⋮ On a Fenchel–Young Type Conjugacy for Invex Functions ⋮ Stable generalization of convex functions ⋮ Characterizations and applications of prequasi-invex functions. ⋮ Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex ⋮ Unnamed Item ⋮ Some new \(k\)-fractional trapezium-like integral inequalities via generalized relative semi-\((r;m,h_1,h_2)\)-preinvex mappings and applications ⋮ Sectionally Convexible Functions ⋮ Invexity of quadratic functions and restricted/local invexity ⋮ On some \(k\)-fractional integral inequalities of Hermite-Hadamard type for twice differentiable generalized beta \((r,g)\)-preinvex functions ⋮ Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality ⋮ Some new Hermite-Hadamard type inequalities via k-fractional integrals concerning differentiable generalized-m-((h_1^p,h_2^q);(η_1,η_2))-convex mappings ⋮ More results on integral inequalities for strongly generalized \((\phi,h,s)\)-preinvex functions ⋮ Kuhn-Tucker condition and Wolfe duality of preinvex set-valued optimization ⋮ Unnamed Item ⋮ Invex programming problems with equality and inequality constraints ⋮ Global parametric sufficient optimality conditions for semi-infinite discrete minmax fractional programming problems involving generalized \((\eta ,\rho )\)-invex functions ⋮ New Hermite-Hadamard inequalities concerning twice differentiable generalized \(\psi\)-convex mappings via conformable fractional integrals ⋮ Higher order invex functions and higher order pseudoinvex ones ⋮ Invex and generalized convex fuzzy mappings ⋮ Global Nonparametric Sufficient Optimality Conditions for Semi-Infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η, ρ)-Invex Functions ⋮ Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions ⋮ On refinements of some integral inequalities for differentiable prequasiinvex functions ⋮ On two times differentiable preinvex and prequasiinvex functions ⋮ Some Caputo k-fractional derivatives of Ostrowski type concerning (n+1)-differentiable generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings ⋮ Invex nonsmooth alternative theorem and applications* ⋮ Modified ratio objective approach in mathematical programming
Cites Work
This page was built for publication: Invexity and generalized convexity
