Results 11 to 20 of about 89,200 (262)
Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework of p-vector spaces, in particular, for locally p-convex spaces for 0 < p ā¤ 1 $0 < p \leq 1$ .
George Xianzhi Yuan
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Variational methods in the presence of symmetry
Advances in Nonlinear Analysis, 2013 The purpose of this paper is to survey and to provide a unified framework to connect a diverse group of results, currently scattered in the literature, that can be usefully viewed as consequences of applying variational methods to problems involving ...
Borwein Jonathan M., Zhu Qiji J.
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A novel and efficient approach for line segment clipping against a convex polygon
Ruhuna Journal of Science, 2019 This paper proposes a new line clipping algorithm against a convex polygon with š(š) time complexity. The line segment is pruned against each extended edge of the polygon as the first step of the proposed algorithm.
K. R. Wijeweera +2 more
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Journal of Mathematics, 2022 In this paper, a new class of functions, namely, exponentially Ī±,hāmāp-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon +4 more
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Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +3 more
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An introduction to non-smooth convex analysis via multiplicative derivative
Journal of Taibah University for Science, 2019 In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
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A class of degenerate elliptic eigenvalue problems
Advances in Nonlinear Analysis, 2013 We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable.
Lucia Marcello, Schuricht Friedemann
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Dual
IEEE Access, 2018 The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
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A Note on the New Ostrowski and Hadamard Type Inequalities via the HƶlderāÄ°Åcan Inequality
Axioms, 2023 For all convex functions, the HermiteāHadamard inequality is already well known in convex analysis. In this regard, HermiteāHadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work.
Ćetin Yildiz +2 more
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Convexity in Real Analysis [PDF]
Real Analysis Exchange, 2011 We treat the classical notion of convexity in the context of hard real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and characterizations are provided of different concrete notions of convexity. This analytic notion of convexity is related to more classical geometric ideas.
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