Results 21 to 30 of about 43,497 (213)

Existence and Uniqueness Results of Fractional Differential Inclusions and Equations in Sobolev Fractional Spaces

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, Elhabib Hadjadj, Mohamad Biomy, Fares Yazid   +3 more
doaj   +1 more source

New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition

Journal of Inequalities and Applications, 2017
Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363, 2015), we obtain the Riesz integral representation for continuous linear maps associated with ...
Zhaoqi Ji, Tao Liu, Hong Tian, Tanriver Ülker   +3 more
doaj   +1 more source

FIXED POINT THEOREMS OF FUZZY SET-VALUED MAPS WITH APPLICATIONS

Проблемы анализа, 2020
In this paper, we introduce the notion of Suzuki-type (𝛼, 𝛽)-weak contractions in the setting of fuzzy set-valued maps, thereby establishing some fuzzy fixed point theorems. Moreover, one of our theorems is applied to study a homotopy result.
Mohammed Shehu Shagari, Akbar Azam
doaj   +1 more source

Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization

Abstract and Applied Analysis, 2018
Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative.
Abdessamad Oussarhan, Ikram Daidai
doaj   +1 more source

Generalized quasiconvex set-valued maps

Journal of Numerical Analysis and Approximation Theory, 2002
The aim of this paper is to introduce a concept of quasiconvexity for set-valued maps in a general framework, by only considering an abstract convexity structure in the domain and an arbitrary binary relation in the codomain.
Nicolae Popovici
doaj   +2 more sources

Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces

Fixed Point Theory and Applications, 2009
In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application,
A. Amini-Harandi, A. P. Farajzadeh, D. O'Regan, R. P. Agarwal   +3 more
doaj   +1 more source

Optimality Conditions and Dualities for Robust Efficient Solutions of Uncertain Set-Valued Optimization with Set-Order Relations

Axioms, 2022
In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on.
Yuwen Zhai, Qilin Wang, Tian Tang
doaj   +1 more source

On the Existence of Super Efficient Solutions and Optimality Conditions for Set-Valued Vector Optimization Problems

Mathematics, 2022
In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the ...
Lu-Chuan Ceng, Ching-Feng Wen, Yeong-Cheng Liou   +2 more
doaj   +1 more source

Optimality and duality in set-valued optimization utilizing limit sets

Open Mathematics, 2018
This paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality ...
Kong Xiangyu, Zhang Yinfeng, Yu GuoLin
doaj   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source