Results 31 to 40 of about 701 (84)
A note on matrices mapping a positive vector onto its element-wise inverse
, 2017 For any primitive matrix $M\in\mathbb{R}^{n\times n}$ with positive diagonal entries, we prove the existence and uniqueness of a positive vector $\mathbf{x}=(x_1,\dots,x_n)^t$ such that $M\mathbf{x}=(\frac{1}{x_1},\dots,\frac{1}{x_n})^t$.
Labbé, Sébastien
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Approximating fixed points of λ‐firmly nonexpansive mappings in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 441-448, 2000., 2000 We study the convergence of the Ishikawa iteration methods to fixed points for the result of Smarzewski (1991). Our theorems also improve recent theorems due to Sharma and Sahu (1996).
Gang-Eun Kim
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Generalized functional inequalities in Banach spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
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Some results on maximal elements
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 409-413, 2000., 2000 We prove some results on maximal elements using the KKM‐map principle.
Antonio Carbone
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan +5 more
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Demonstratio Mathematica, 2023 In this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of extension
Nezhad Akbar Dehghan +3 more
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Some Fixed Point Theorems for Kannan Mappings [PDF]
, 2010 2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete ...
Narang, T. D., Tejpal, Shavetambry
core
Nonzero positive solutions of a multi-parameter elliptic system with functional BCs
, 2017 We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of
Infante, Gennaro
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A theorem of Meir‐Keeler type revisited
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 507-511, 2000., 2000 In 1993, the authors presented a fixed point theorem of Meir‐Keeler type. The proposed proof of a lemma—on which the said theorem depends on—is invalid. In this note, we alter the statement of this lemma and give a valid proof thereof, so that the main result of the previous paper is still true.
Y. J. Cho, P. P. Murthy, G. Jungck
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Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu +4 more
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