Results 1 to 10 of about 6,270 (108)
Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings [PDF]
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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Dual Solutions in Convex Stochastic Optimization [PDF]
Mathematics of Operations Research, 2022 This paper studies duality and optimality conditions for general convex stochastic optimization problems. The main result gives sufficient conditions for the absence of a duality gap and the existence of dual solutions in a locally convex space of random
T. Pennanen, Ari-Pekka Perkkiö
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Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type
Fixed Point Theory and Applications, 2015 In this paper, we provide a new approach for discussing the solvability of a class of operator equations by establishing fixed point theorems in locally convex spaces. Our results are obtained extend some Krasnosel’skii type fixed point theorems.
Fuli Wang, Huaiyu Zhou
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Fixed point theorems and the Krein-S̆mulian property in locally convex spaces
Fixed Point Theory and Applications, 2015 The aim of this paper is to establish some new fixed point theorems for the superposition operators in locally convex spaces which satisfy the Krein-S̆mulian property.
Fuli Wang, Huaiyu Zhou
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AN APPROACH OF MEAN-SETS THEORY FOR NEGATIVELY CURVED CONVEX COMBINATION POLISH METRIC SPACES
Advances in Mathematics: Scientific JournalThe choice of a convenient approach to be used is one important issue when attempting to develop methods or obtain results in the setting of Probability on general metric spaces.
Christophe Fotso +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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A simple theory of differential calculus in locally convex spaces
, 1986 R. Graff
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Locally convex topologies and control theory
MCSS. Mathematics of Control, Signals and Systems, 2016 Saber Jafarpour, A. D. Lewis
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