Results 51 to 60 of about 281 (199)
Topological Properties of the Approximate Subdifferential [PDF]
, 1997 The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its nonconvexity.
Henrion, René
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A Two-Step Inertial Primal-Dual Algorithm for Minimizing the Sum of Three Functions
IEEE Access, 2019 In this paper, we introduce a two-step inertial primal-dual algorithm (TSIPD) for solving the minimizations of the sum a smooth function with Lipschitzian gradient and two non-smooth convex functions with linear operators.
Meng Wen +3 more
doaj +1 more source
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces. Let T : H⟶H be asymptotically nonexpansive mapping with F(T) ≠ ∅ ∅ and let xnn≥0 be defined by xn+1 = σnzn + bn(Tnσnzn − σnzn) + εn, ∀n ≥ 1.
Emmanuel Akaligwo +5 more
wiley +1 more source
Algebraic Univalence Theorems for Nonsmooth Functions [PDF]
, 2000 A well known univalence result due to D. Gale and H. Nikaido (1965, Math. Ann.159, 81–93) asserts that if the Jacobian matrix of a differentiable function from a closed rectangle K in Rn into Rn is a P-matrix at each point of K, then f is one-to-one on K.
Ravindran, G, Gowda, M.Seetharama
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Common fixed point theorems for semigroups on metric spaces
International Journal of Mathematics and Mathematical Sciences, 1999 This paper consists of two main results. The first one shows that if S is a left reversible semigroup of selfmaps on a complete metric space (M,d) such that there is a gauge function φ for which d(f(x),f(y))≤φ(δ(Of (x,y))) for f∈S and x,y in M, where δ ...
Young-Ye Huang, Chung-Chien Hong
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Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball with Jumping Nonlinearities [PDF]
, 1989 Let p,φ :[0,T] → R be bounded functions with φ \u3e 0. Let g:R → R be a locally Lipschitzian function satisfying the superlinear jumping condition: (i) lim u → - ∞ (g(u)/u) ε R (ii) lim u → ∞ (g(u)/(u1 + ρ )) = ∞ for some ρ \u3e 0, and (iii) lim u → ∞ (u/
Alfonso Castro +3 more
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Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications
Fractal and FractionalThe purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir +3 more
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Significance of F‐Contraction After Proinov’s Fixed‐Point Results
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Wardowski laid out his idea of an F‐contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed‐point theory, motivating many researchers to extend these results to more general spaces, to investigate broader classes of ...
Naeem Saleem +4 more
wiley +1 more source
Almost Everywhere Convergence of Riesz-Raikov Series [PDF]
, 1995 Let T be a d×d matrix with integer entries and with eigenvalues >1 in modulus. Let f be a lipschitzian function of positive order. We prove that the series $∑_{n=1}^{∞} c_n f(T^{n}x)$ converges almost everywhere with respect to Lebesgue measure provided ...
Fan, Ai
core
Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes
Fractal and FractionalIn this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for ...
Areej A. Almoneef +3 more
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