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tom Nr 56
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The purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.2 [4], Theorem 3.1 [3], Theorem 3.2 [7], Corollary 2.3 [4], Theorem 2.8 [16] and obtain other particular results.
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Content available remote On Frigon-Granas type multifunctions satisfying an implicit relation
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The purpose of this paper is to prove two general fixed point theorems for two multifunctions T1,T2 : B(xo,r) - > Pcl(X) satisfying an implicit relation, which generalize Theorem 3.1 [2], Theorem 3.1 [3], Theorem 3.1 [1] and Theorem 3.1 [6]. In the last part we extend the results for a sequence of multifunctions.
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In this paper, a general coincidence and common fixed points theorem for two hybrid pairs of mappings satisfying property (E.A) is proved, generalizing the main results from [3] and [9].
EN
The Global Commerce Initiative (GCI) established the Global Upstream Supply Initiative (GUSI) in order to provide a standard framework for consumer goods manufacturers and their suppliers of ingredients, raw materials and packaging to better integrate across a number of supply chain processes. Without Internal Data Alignment, for example, Global Data Synchronization (GDS) will definitely not improve business performance and will, in fact, magnify the negative impact of poor quality data. What's more, collaborative initiatives such as those included in Efficient Consumer Response (ECR) and Collaborative Planning, Forecasting and Replenishment (CPFR) will not be economically deployable on a wide scale without the consistently accurate and available information that will result from an Internal Data Alignment program. GDS is based on a global network of data pools, or electronic catalogues, which are all inter-operable and compliant with the same business requirements and standards. Interoperability means that a manufacturer can publish a product and partner data on one single Data Pool without having to worry about the fact that customers may select different Data Pools to access the data. Integrated Suppliers is a concept for improving the part of supply chain between manufacturers and the tiers of suppliers of ingredients, raw materials and packaging. By sharing information both parties are able to exercise judgment on costs, quantities and timing of deliveries and productions in order to stream line the production flow and to move to a collaborative relationship.
PL
Global Commerce Initative (GCI) stworzyła Global Upstream Supply Initative (GUSI) aby utworzyć standardowe ramy dla producentów dóbr konsumpcyjnych i ich dostawców surowców, materiałów i opakowań, w celu lepszej integracji procesów zachodzących w łańcuchu dostaw. Bez wewnętrznego dopasowania danych, Globalna Synchronizacja Danych (GSD) nie przyczyni się do poprawy wydajności firmy, w rzeczywistości zwiększy negatywny wpływ informacji charakteryzujących się złą jakością. Co więcej, wspólne inicjatywy takie jak Efficient Consumer Response (ECR) czy Collaborative Planning, Forecasting and Replenishment (CPFR) nie będą miały przełożenia ekonomicznego, gdyż wpływ na to będzie miał brak dokładnych i dostępnych informacji które są uzyskiwane z programu wewnętrznego dopasowania danych. Program wewnętrznego dopasowania danych opiera się na globalnej sieci danych, katalogach elektronicznych, które są w szczególności Interoperacyjne i działają zgodnie z tymi samymi wymaganiami i standardami biznesu. Interoperacyjność oznacza że producent może opublikować informacje o produkcie wraz z partnerami w jednej puli danych, bez konieczności martwienia się tym że klienci mogą wybrać inną pulę danych aby uzyskać dostęp do tych informacji. Koncepcja zintegrowanych dostawców dotyczy poprawy części łańcucha dostaw między producentami i ich dostawcami surowców, materiałów i opakowań. Dzięki dzieleniu się informacjami, obie strony są w stanie wyegzekwować postanowienia w sprawie cen, ilości, terminów dostaw i produkcji w celu uzyskania strumieniowego przepływu produkcji i nawiązać relacje współpracy.
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Content available remote A common fixed point theorem for two multifunctions defined on closed ball
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We prove a common fixed point theorem for two mul-tifunctions defined on a closed ball of a complete metric space with values in the set of all nonempty and closed subsets of this space, multifunctions which satisfy an implicit contractive relation of Latif-Beg type.
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Content available remote Altering distances, fixed point for occasionally hybrid mappings and applications
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The purpose of this paper is to prove a general fixed point theorem by altering distance for two pairs of hybrid occasionally weakly compatible mappings and to reduce the study of fixed points of pairs of mappings satisfying a contractive condition of integral type at the study of fixed point in symmetric spaces by altering distance satisfying an implicit relation.
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Content available remote Well-posedness of fixed point problem for mappings satisfying an implicit relation
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The notion of well-posedness of a fixed point problem has generated much interest to a several mathematicians, for example, F. S. De Blassi and J. Myjak (1989), S. Reich and A. J. Zaslavski (2001), B. K. Lahiri and P. Das (2005) and V. Popa (2006 and 2008). The aim of this paper is to prove for mappings satisfying some implicit relations in orbitally complete metric spaces, that fixed point problem is well-posed.
EN
In this note, we prove some common fixed point theorems for occasionally weakly compatible mappings satisfying an implicit relation and a contractive modulus.
EN
In this paper a new type of common limit range property is introduced, which generalizes the notion of strongly tangential property [9] and joint common limit range property [16]. A general fixed point theorem for two pairs of hybrid mappings involving altering distance and satisfying an implicit relation is proved, generalizing the results from [9], [16] and other papers. As application, we obtain new results for contractive mappings satisfying a contractive condition of integral type, for mappings satisfying ф - contractive conditions and satisfying (ψ, ф) - contractive conditions.
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Content available remote Some properties of almost weakly continuous multifunctions
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In [13], the authors defined a multifunction F : X - Y to be upper (lower) almost weakly continuous if for each x należy do X and each open set V containing F(x) (resp. F(x) iloczyn V=0) x należy do Int(Cl(F+ (Cl(V)))) (resp, x należy do Int(Cl(F- (Cl(V))))). In this paper, further characterizations and several properties concerning upper (lower) almost weakly continuous multifunctions are obtained.
PL
W artykule zaprezentowano algorytm routingu w sieci WSN wykorzystywanej jako element koncepcji Smart City. Analizowano algorytmy Flooding, Probabilistic Broadcast oraz Convergecast. Do analizy wykorzystano platformę symulacyjną Omnet++ 4.3 oraz MiXiM. Stwierdzono że najlepsze właściwości ma algorytm Flooding. Z punktu widzenia liczby otrzymywanych pakietów najlepszą przepustowość miał algorytm Convergecast.
EN
This paper presents the performance evaluation of the routing algorithms found in WSN networks that can be used as part of the Smart City concept, in order to identify the best candidate. The first part of the paper consists in a brief summary of the main routing techniques and mechanisms used in large scale WSN networks, while the second part of the paper will comprise an analysis of the Flooding, Probabilistic Broadcast and Convergecast algorithms. The performance evaluation consisted in a series of simulations, by means of the Omnet++ 4.3 simulation framework and the MiXiM framework. The obtained results show that, in terms of the latency parameters, the highest performance level is ensured by the Flooding routing mechanism, followed by the Convergecast and the Probabilistic Broadcast algorithms. In terms of the number of received packets, the highest throughput is provided by the Convergecast routing algorithm.
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Content available remote A generalization of ω-continuity
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In this paper, by using mg*-closed sets [23], we define and investigate the notion of mg*-continuity which is a generalization of ω-continuity [32] or g-continuity [35].
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Content available remote On an operatorial inequality
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In this paper we give an operatorial inequality which is applied to find estimations for the solutions of some integral and differential systems of inequalities.
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Content available remote Further properties of quasi M-continuous functions
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We obtain the further properties of quasi Mconti¬nuous functions which were introduced and investigated in order to establish the unified theory for several variations of quasi-conti¬nuity between bitopological spaces.
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Content available remote Some properties of upper and lower θ-quasicontinuous multifunctions
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In this paper we obtain new characterizations of upper and lower θ-quasicontinuous muitifunctions and investigate several properties of such multifunctions.
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Content available remote On s-precontinuous multifunctions
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In this paper we introduce and study 5-precontinuous multifunctions as a generalization of 5-continuous multifunctions and precontinuous multifunctions. Several characterizations and some basic properties of such multifunctions are investigated.
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Content available remote On iterate minimal structures and M-iterate continuous functions
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We introduce the notion of mIT-structures determined by operators mint and mCl on an m-space (X, mX). By using mIT-structures, we introduce and investigate a function f : (X, mIT) → (Y, mY) called MIT-continuous. As special cases of M/T -continuity, we obtain M-semicontinuity [21] and M-precontinuity [23].
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Content available remote The unified theory of certain types of generalizations of Lindelof spaces
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We introduce a new class of sets called u-m-open sets which are defined on a family of sets satisfying m-structures with the property of being closed under arbitrary union. The sets enable us to obtain some unified properties of certain types of generalizations of Lindelof spaces.
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