176 research outputs found

    A New Iterative Method for the Set of Solutions of Equilibrium Problems and of Operator Equations with Inverse-Strongly Monotone Mappings

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    The purpose of the paper is to present a new iteration method for finding a common element for the set of solutions of equilibrium problems and of operator equations with a finite family of λi-inverse-strongly monotone mappings in Hilbert spaces

    The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings

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    In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature bounded above. For this purpose, we analyze the asymptotic behavior of compositions of finitely many firmly nonexpansive mappings in the setting of pp-uniformly convex geodesic spaces focusing on asymptotic regularity and convergence results

    On the role of the coefficients in the strong convergence of a general type Mann iterative scheme

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    Let H be a Hilbert space. Let (Wn)nN(W_{n})_{n\in\mathbb{N}} be a suitable family of mappings. Let S be a nonexpansive mapping and D be a strongly monotone operator. We study the convergence of the general scheme xn+1=Wn(αnSxn+(1αn)(IμnD)xn)x_{n+1}=W_{n}(\alpha_{n}Sx_{n}+(1-\alpha_{n})(I-\mu_{n}D)x_{n}) in dependence on the coefficients (αn)nN(\alpha_{n})_{n\in\mathbb{N}} , (μn)nN(\mu_{n})_{n\in\mathbb{N}}

    Variational inequalities and fixed point problems : a survey

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    U ovoj disertaciji predstavljena je i razrađena teorija neizrazitog vođenja i održavanja procesa toplinskog komfora u mjernom laboratoriju. Izložen je novi sustavski pristup vođenja s posebnim naglaskom na čovjeka- mjeritelja, koji je sastavni dio regulacijskog kruga Konvencionalnom vođenju procesa održavanja toplinskog komfora predviđena je korekcija u skladu s subjektivnim doživljajem, zadržavajući pri tom referentne vrijednosti unutar intervala dopuštenih standardom. Kao rezultat istraživanja odlučeno je i realizirano da se psihološki doživljaj komfora ugradi primjenom neizrazitog slijeda vođenja. Tijekom istraživanja, za potrebe vođenja toplinskog komfora, izrađen je lingvistički deduktivni model, kojim se opisuju svi eventualni lingvistički zahtjevi za promjenom komfora. Pored ovog modela izrađen je i model toplinske i materijalne akumulacije u promatranom prostoru, kako bi se dokazala mogućnost primjene razvijene teorije za vođenje procesa toplinskog komfora. Važan dio predloženog sustava jest inteligentno mjerilo entalpije, izvedeno na temelju istraživanja termodinamike vlažnog zraka. Zamišljen je i realiziran takav inteligentni mjerni uređaj koji povezuje mjerne podatke o tlaku, temperaturi i vlažnosti zraka u promatranom prostoru, sa zbirkom znanja ugrađenom u mikroračunalo, pa kontinuirano računa trenutačne vrijednosti entalpije. Ovaj rad je novi doprinos u teoriji vođenja toplinskog komfora, koja se do sada zasnivala isključivo na stabilizaciji termodinamičkih varijabli stanja.This work presents new process control theory, applied to maintaining thermal comfort in measurement laboratory. In this system approach to process control, human is an essential part of feedback controller. His subjective feeling of thermal comfort is base for applying fuzzy logic; his linguistic information's about temperature and relative humidity in laboratory substitute measurements of a classic feedback controller. Control decisions are result of fuzzy calculations, and controlled variables must be maintained within limits given by Standard. Linguistic deductive model that describes all possible linguistic demands for thermal comfort changes is developed during the research. Also, mathematical model of heat and material accumulation in a laboratory is developed, to confirm applicability of proposed theory for control of thermal comfort process. Important part of proposed system is an intelligent instrument for enthalpy measurement, developed on basis of humid air thermodynamics research. This intelligent measuring instrument combines pressure, temperature and relative humidity measurement data in a laboratory with knowledge base situated in a microprocessor, and continuously calculates enthalpy. This work presents new contribution to theory of thermal comfort control, which was until now based exclusively on stabilisation of thermodynamic variables
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