Results 11 to 20 of about 43,910 (259)
Strongly convex set-valued maps [PDF]
Journal of Global Optimization, 2013 Introducimos la noción de mapas de valor fijo fuertemente $ $ t $ $ -convexos y presentamos algunas propiedades de la misma. En particular, se obtienen teoremas de tipo Bernstein-Doetsch y Sierpiński para mapas de valor de conjunto fuertemente midconvexos, así como un resultado de tipo Kuhn. Se da una representación de mapas de valor fijo fuertemente $$
Hugo Leiva +3 more
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Strict Benson proper-ε-efficiency in vector optimization with set-valued maps [PDF]
Yugoslav Journal of Operations Research, 2015 In this paper the notion of Strict Benson proper-ε-efficient solution for a vector optimization problem with set-valued maps is introduced. The scalarization theorems and ε-Lagrangian multiplier theorems are established under the assumption of ...
Suneja Kaur Surjeet, Sharma_ Megha
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Best Proximity Pairs Theorems for Continuous Set-Valued Maps
Fixed Point Theory and Applications, 2008 A best proximity pair for a set-valued map F:A⊸B with respect to a set-valued map G:A⊸A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces.
R. P. Agarwal +3 more
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Fixed points of hesitant fuzzy set-valued maps with applications
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, the notion of hesitant fuzzy fixed points is introduced. To this end, we define Suzuki-type $(\alpha,\beta)$-weak contractions in the framework of hesitant fuzzy set-valued maps, thereby establishing some corresponding fixed point theorems.
M.S. Shagari, A. Azam
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Set-Valued Robust Mappings and Approximatable Mappings
Journal of Mathematical Analysis and Applications, 1994 The second author recently proposed the concept of robustness of sets and functions for weakening the requirement of continuity of the objective functions and constraints in global optimization problems. In this paper the authors propose the concept of lower robustness and of lower approximation for a set-valued mapping and show that any lower ...
Shi, S.Z., Zheng, Q., Zhuang, D.M.
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On the Borel Classes of Set-Valued Maps of Two Variables
Annales Mathematicae Silesianae, 2020 Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
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An Extension of the Carathéodory Differentiability to Set-Valued Maps
Abstract and Applied Analysis, 2021 This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Carathéodory differentiability to multifunctions (set-valued maps). Using the Hukuhara difference and affine multifunctions as a local
Pedro Hurtado +3 more
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Set-Valued Mapping and Rough Probability [PDF]
Mathematical Sciences Letters, 2018 In 1982, the theory of rough sets proposed by Pawlak and in 2013, Luay concerned a rough probability by using the notion of Topology. In this paper, we study the rough probability in the stochastic approximation spaces by using set-valued mapping and obtain results on rough expectation, and rough variance.
Sedghi, Shaban +3 more
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Noncompact Equilibrium Points for Set-Valued Maps
Abstract and Applied Analysis, 2014 We prove a generalized result on the existence of equilibria for a monotone set-valued map defined on noncompact domain and take its values in an order of topological vector space. As consequence, we give a new variational inequality.
Souhail Chebbi, Bessem Samet
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Axioms, 2023 In this work, by using the iterative method, we discuss the existence and uniqueness of solutions for multiterm fractional boundary value problems. Next, we examine some existence and uniqueness returns for semilinear fractional differential inclusions ...
Safia Meftah +3 more
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