Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces

∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.

A Perturbed Iterative Method for a General Class of Variational Inequalities

The generalized Wiener-Hopf equation and the approximation methods are used to propose a perturbed iterative method to compute the solutions of a general class of nonlinear variational inequalities.

On a Variational Approach to some Quasilinear Problems

We prove some multiplicity results concerning quasilinear elliptic equations with natural growth conditions. Techniques of nonsmooth critical point theory are employed.

Nonlinear Variational Inequalities Depending on a Parameter

This paper develops the results announced in the Note [14]. Using an eigenvalue problem governed by a variational inequality, we try to unify the theory concerning the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions.

Sufficient Conditions of Optimality for Control Pproblem Governed by Variational Inequalities

* This work was completed while the author was visiting the University of Limoges. Support from the laboratoire “Analyse non-linéaire et Optimisation” is gratefully acknowledged.

Collocation, interpretation and explanation:the case of just any

This article discusses the question of compositionality by examining whether the indiscriminacy reading of the collocation of just with any can be shown to be a consequence of the schematic meaning-potential of each of these two items. A comparison of justwith other restrictive focus particles allows its schematic meaning to be defined as that of goodness of fit. Any is defined as representing an indefinite member of a set as extractable from the set in exactly the same way as each of the other members thereof. The collocation just any often gives rise to a scalar reading oriented towards the lowest value on the scale due to the fact that focus on the unconstrained extractability of a random indefinite item brings into consideration even marginal cases and the latter tend to be interpreted as situated on the lower end of the scale. The attention to low-end values also explains why just any is regularly found with the adjective old, the prepositional phrase at all and various devaluating expressions. It is concluded that the meanings of the component parts of this collocation do indeed account for the meaning of the whole, and that an appropriate methodology allows identification of linguistic meanings and their interrelations. © 2011 Elsevier B.V.

Development of Variational Thinking Skills in Programming Teaching

The paper presents an example of methodological approach to the development of variational thinking skills in teaching programming. Various ways in solving a given task are implemented for the purpose. One of the forms, through which the variational thinking is manifested, is related to trail practical actions. In the process of comprehension of the properties thus acquired, students are doing their own (correct or incorrect) conclusions for other, hidden properties and at the same time they discover possibilities for new ways of action and acquiring of new effects. The variability and the generalizing function of thinking are in a close interrelation, and their interaction to a great extend determines the dynamics of the cognitive activity of the student.

Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions

2000 Mathematics Subject Classification: 47H04, 65K10.

Variational Principles for Monotone and Maximal Bifunctions

2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05

Research on Linguistic Approaches, Used for Semantic Explanation of Bell’s Knowledge

This paper presents a research of linguistic structure of Bulgarian bells knowledge. The idea of building semantic structure of Bulgarian bells appeared during the “Multimedia fund - BellKnow” project. In this project was collected a lots of data about bells, their structure, history, technical data, etc. This is the first attempt for computation linguistic explain of bell knowledge and deliver a semantic representation of that knowledge. Based on this research some linguistic components, aiming to realize different types of analysis of text objects are implemented in term dictionaries. Thus, we lay the foundation of the linguistic analysis services in these digital dictionaries aiding the research of kinds, number and frequency of the lexical units that constitute various bell objects.

Variational Markov chain Monte Carlo for Bayesian smoothing of non-linear diffusions

In this paper we develop set of novel Markov Chain Monte Carlo algorithms for Bayesian smoothing of partially observed non-linear diffusion processes. The sampling algorithms developed herein use a deterministic approximation to the posterior distribution over paths as the proposal distribution for a mixture of an independence and a random walk sampler. The approximating distribution is sampled by simulating an optimized time-dependent linear diffusion process derived from the recently developed variational Gaussian process approximation method. The novel diffusion bridge proposal derived from the variational approximation allows the use of a flexible blocking strategy that further improves mixing, and thus the efficiency, of the sampling algorithms. The algorithms are tested on two diffusion processes: one with double-well potential drift and another with SINE drift. The new algorithm's accuracy and efficiency is compared with state-of-the-art hybrid Monte Carlo based path sampling. It is shown that in practical, finite sample applications the algorithm is accurate except in the presence of large observation errors and low to a multi-modal structure in the posterior distribution over paths. More importantly, the variational approximation assisted sampling algorithm outperforms hybrid Monte Carlo in terms of computational efficiency, except when the diffusion process is densely observed with small errors in which case both algorithms are equally efficient. © 2011 Springer-Verlag.

Deconstruction-analysis-explanation:contextualization in professional digital discourse

It is already a truism that emerging communication technologies have changed the landscape of communication in every aspect of our lives, but this is specifically true for how we communicate at work. Advances in communication technologies have enabled a wide range of digital communication modes to be utilized for both internal and external business communication; including audio and visual communication and voice-over protocols, as well as text-based channels, such as email, forums, instant messaging and social media. In spite of the wide range of available audio-visual channels, and despite the ever-increasing popularity of email, real-time text-based communication technologies (instant messaging or IM) are also on the rise (see Mak, 2014; Pazos et al., 2013; Radicati & Levenstein, 2013; and Markman in this volume). The prominence of IM is evident in the rise of this mode of communication, not only as a tool for internal business communication, but as a front-stage channel, particularly for customer service encounters or professional-client conversations (Makarem et al., 2009; Pearce et al., 2013; L. Zhang et al., 2011).

A gyenge hazai innovációs teljesítmény intézményi magyarázatához. Vitaírás a nemzetközi innovációs versenyben való részvétel akadályairól (Towards an institutional explanation of the country's weak innovation performance)

Miért van a magyar gazdaság hasonlóan kritikus helyzetben, mint a rendszerváltást megelőző időkben? Miért nem sikerül az eladósodást megállítani, a gazdaságot konszolidálni, és fenntartható növekedési pályára állítani? Ennek közvetlen okát a szerzők a fejlődés féloldalasságában és a duális gazdasági szerkezetben látják. A piacgazdasági intézmények bevezetése ugyanis nem járt együtt az egész gazdaságot (vagy legalábbis annak nagy részét) átfogó, a tudásvezérelt információgazdaság felé mutató, gyors fejlődéssel. Számos indikátor azt jelzi, hogy az ország lemaradt a nemzetközi innovációs versenyben. Az innovációk elégtelensége azonban nem véletlen, nem exogén adottság, hanem a formális piaci intézmények mögött meghúzódó valós intézményi berendezkedéssel, a gazdaságban ténylegesen észlelhető magatartásmintákkal magyarázható. A piacgazdasági intézmények és jogi keretek, amelyek elvileg lehetőséget adnak az erőforrásokhoz való szabad és nyílt hozzáférésre, csak részben töltődtek meg tartalommal. Az országban még mindig meglehetősen korlátozott a sikeres belépés lehetősége a piaci és a politikai arénába, azaz a magyar társadalom - a north-i terminológiával élve - "korlátozott hozzáférésre alapozott társadalomként" írható le. Az a tény, hogy a piaci szereplők esélyei az államhoz és intézményeihez fűződő kapcsolatoktól függően nagyban különböznek egymástól, és a gazdasági szereplők rendszerszerűen használják e kapcsolatokat járadékszerzésre, lefojtja az innovációt, és újra és újra megakasztja a fejlődést. / === / Why is Hungary's economy still in a critical state similar to the one before the change of system? Why is the indebtedness not being halted, the economy consolidated or vital structural reforms performed? The authors see the direct cause in lopsided development and a dual economic structure. The introduction of market economic institutions was not followed by rapid, overall development towards a knowledge-led, information economy. Several indicators show how Hungary has fallen behind in competition for international innovation. The inadequacy is not a fortuitous, exogenous attribute, but explicable in terms of a real institutional setup underlying the formal market institutions, and of actual behaviour patterns found in the economy. Only in part has substance been gained by the institutions and legal frames of a market economy that theoretically would provide free and open access to resources. The scope for successful entry into the market or political arena remains very narrow, so that in Douglass North's terms, Hungary's is still "a society based on restricted access." Innovation is stifled and development repeatedly impeded by the fact that market players' chances differ widely depending on their connections with the state and its institutions and such connections are used regularly in rent-seeking.

Helyhez kötött kapcsolatok. Egy társadalmi kapcsolathálókon alapuló magyarázat a földrajzi munkamegosztás kialakulására = Ties of locality. An explanation of the development of the geographical division of labour based on social networks

A „földrajzi munkamegosztás” vagy „elhelyezkedés probléma” arra a kérdésre utal, miért alakulnak ki egy-egy gazdasági tevékenységre szakosodott földrajzi egységek, regionális gazdasági rendszerek. A hagyományos közgazdasági megközelítések a területek racionálisan kalkulálható komparatív előnyeit, a nyersanyagok vagy a piac közelségét, infrastrukturális adottságokat, útfüggőséget stb. szokták hangsúlyozni. A tanulmány szerzője a társadalmi kapcsolatok jelentőségét emeli ki, azt sugallja, hogy a területi specializálódás az egymással kapcsolatban álló, hasonlóan specializálódott többi szereplő nyomására alakul ki. A hipotézist két külföldön végzett eset tanulmány tapasztalatai alapján járja körül. ______________________ The question of "regional economic systems", "geographical division of labour" or "location problem" has an important literature. Economic approaches emphasize the rationally calculated advantages of the specialized industrial areas: the benefit of the exploitation of discovered resources, more cooperative relations, etc. The paper stresses the role of social networks in the location problem: economically specialized areas formed because of the suggestions and tips of connected enterprises, cooperative partners. The hypothesis is based on the experiences of two case studies, made in a Peruvian rural area and a Mexican modern industrial area.

Solving the mystery of Guanxi-a sociological explanation of social exchange and social networking in Guanxi practice

Guanxi, loosely defined as "inter-personal relations" or "personal connections," is one of the key socio-cultural concepts in understanding Chinese society. This thesis presented a theoretical examination of the Chinese socio-cultural concept of guanxi. By using a broad survey of the available literature, this thesis established the following points: Social structures shape and define the development of guanxi practice in Chinese society. Guanxi relationships are based on the social exchange of gifts and favors in dyadic or multi-stranded social networks. While following the general rules of reciprocity found in social exchange, guanxi exchange is also governed by the internalized social norms such as mianzi (face) and renqing (humanized obligation underpinned by human sentiment). Guanxi relationships are also network-oriented, featuring ties based on familiarity and mutual trust, and characterized by an interplay between expressiveness and instrumentalism.