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 ≤ 1 $0 < p \leq 1$ .
George Xianzhi Yuan
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Fixed point theorems and applications in p-vector spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued mappings and compact continuous (single-valued) mappings, and related applications for useful tools in nonlinear analysis by applying the best approximation ...
George Xianzhi Yuan
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Local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces I: General Theory [PDF]
Journal of Function Spaces, 2004 We present a systematic study of the interpolation of local uniform convexity and Kadec‐Klee type properties in K‐interpolation spaces. Using properties of the K‐functional of J.Peetre, our approach is based on a detailed analysis of properties of a Banach couple and properties of a K‐interpolation functional which guarantee that a given K ...
Dodds, Peter Gerard +3 more
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Theorems on the zeros of linear differential operators
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. Differential connections between solutions of systems of differential equations play a significant role in mathematics and mathematical physics. The operators and algebras of differential symmetry of linear homogeneous systems of differential
A.I. Fomin, V.I. Titarenko
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ABB Theorems: Results and Limitations in Infinite Dimensions. [PDF]
J Optim Theory ApplDaniilidis A +2 more
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Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces. [PDF]
J Evol EquGórny W.
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General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization. [PDF]
J Optim Theory ApplBarshad K, Censor Y.
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On the Monotonicity of Relative Entropy: A Comparative Study of Petz's and Uhlmann's Approaches. [PDF]
Entropy (Basel)Matheus S, Bottacin F, Provenzi E.
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Equivariant valuations on convex functions. [PDF]
Calc Var Partial Differ EquHofstätter GC, Knoerr J.
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Hawking's Singularity Theorem for Lipschitz Lorentzian Metrics. [PDF]
Commun Math PhysCalisti M +4 more
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