Results 11 to 20 of about 2,875 (194)
Abstract and Applied Analysis, 2013 We first introduce the new real function class ℱ satisfying an implicit Lipschitz-type condition. Then, by using ℱ-type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy ...
Ming-Liang Song, Xiu-Juan Zhu
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New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations
Journal of Mathematical Analysis and Applications, 2022 We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs. We illustrate the applicability of our results with examples not covered by earlier Lipschitz–type uniqueness ...
José Ángel Cid +2 more
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Journal of Inequalities and Applications, 2022 AbstractA thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality. By means of well-known contraction mapping and the Brouwer fixed-point theorem, we provide new results on ...
Jehad Alzabut +5 more
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Common fixed points under Lipschitz type condition [PDF]
Kathmandu University Journal of Science, Engineering and Technology, 1970 The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved. Mathematics Subject Classification: 54 H 25.
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Extragradient subgradient methods for solving bilevel equilibrium problems
Journal of Inequalities and Applications, 2018 In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong ...
Tadchai Yuying +3 more
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Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
Journal of Inequalities and Applications, 2010 We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced.
Do Sang Kim, Hyo Jung Lee
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Mathematics, 2020 In this paper, we presented a modification of the extragradient method to solve pseudomonotone equilibrium problems involving the Lipschitz-type condition in a real Hilbert space.
Pasakorn Yordsorn +3 more
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Iterated commutators of multilinear Calderón–Zygmund maximal operators on some function spaces
Journal of Inequalities and Applications, 2019 Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with functions in Lipschitz spaces.
Zengyan Si, Pu Zhang
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Lipschitz-type conditions on homogeneous Banach spaces of analytic functions
Journal of Mathematical Analysis and Applications, 2017 Let \(\mathcal H(\mathbb D)\) be the space of all analytic functions on the unit disk \(\mathbb D \subset \mathbb C\) with the topology of uniform convergence on compact subsets of \(\mathbb D\).
Oscar Blasco, Georgios Stylogiannis
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Journal of Inequalities and Applications, 2020 In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontinuities are of non-Lipschitz type.
Lihong Xing, Donghua Qiu, Zhaowen Zheng
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