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Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems [PDF]
Journal of Inequalities and Applications, 2017 Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with γ > 0 $\gamma>0$ .
Hui Huang, Jixian Ning
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Startpoints and (α,γ)-Contractions in Quasi-Pseudometric Spaces [PDF]
Journal of Mathematics, 2014 We introduce the concept of startpoint and endpoint for multivalued maps defined on a quasi-pseudometric space. We investigate the relation between these new concepts and the existence of fixed points for these set valued maps.
Yaé Ulrich Gaba
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Approximate Convexity for Set-Valued Maps [PDF]
Mathematics Interdisciplinary Research, 2023 In this paper, we extend the notion of approximate convexity to set-valued maps and obtain some relations between approximate convexity and approximate monotonicity of their normal subdifferential.
Zohreh Kefayati, Morteza Oveisiha
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Using ρ-cone arcwise connectedness on parametric set-valued optimization problems
Journal of Inequalities and Applications, 2022 Within the inquiry about work, we explore a parametric set-valued optimization problem, where the objective as well as constraint maps are set-valued.
Koushik Das, Mohammad Esmael Samei
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On Fuzzy Soft Set-Valued Maps with Application
Journal of Nigerian Society of Physical Sciences, 2020 Soft set and fuzzy soft set theories are proposed as mathematical tools for dealing with uncertainties. There has been tremendous progress concerning the extensions of these theories from different point of views of researchers so as to accommodate more ...
Shehu Shagari Mohammed
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Structure of the Fixed Point of Condensing Set-Valued Maps [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.
Zeinab Soltani
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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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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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Best Proximity Pairs Theorems for Continuous Set-Valued Maps
Fixed Point Theory and Applications, 2008 A best proximity pair for a set-valued map with respect to a set-valued map is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a
Farajzadeh AP +3 more
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A short and constructive proof of Tarski’s fixed-point theorem [PDF]
, 2005 I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued ...
Echenique, Federico
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