Ivan D. Aranđelović

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• Doctor of Philosophy
• Professor (Full) at University of Belgrade

In this paper, we presented the results for extended nonlinear contraction defined on S-left complete topological spaces. Our results generalize earlier results in literature. Also, we obtain the fixed point theorem for extended nonlinear contraction defined on quasi b-metric spaces. This result extended recent results of Pasicki, obtained for disl...

In this paper, we present fixed point theorem for mappings defined on-metric spaces, which satisfies extended quasi-contractive inequality with nonlinear comparison function. Our result generalizes and improves several recent results from fixed point theory.

It is known that Fourier’s heat equation which is parabolic, implies an infinite velocity propagation, or, in other words, that the mechanism of heat conduction is established instantaneously under all conditions. This is unacceptable on physical grounds in spite of the fact that Fourier’s law agrees well with experiment. However, discrepancies are...

In this paper, we present some results on the existence and uniqueness of common fixed points on d*-complete topological spaces. Our results generalize and improve upon earlier results in the literature. Finally, we give some examples in lp spaces, (p∈(0,1)), where we use the obtained results.

In this study, we establish the convergence of Ishikawa iterates defined by nonlinear quasi-contractive mappings on TVS-cone metric space. Further, our results generalize many existing results in the literature.

In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent results. Additionally, we give an application of the obtained results to dynamical systems.

In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent results. Additionally, we give an application of the obtained results to dynamical systems.

We present a fixed point result in quasi b-metric spaces. Our result generalizes recent fixed point results obtained by Aleksić et al., Dung and Hang, Jovanović et al., Sarwar, and Rahman and classical results obtained by Hardy, Rogers, and Ćirić. Also, we obtain a common fixed point result in b-metric spaces. As a special case, we get a result of...

In this paper, we present a common fixed point result for a pair of mappings defined on a b-metric space, which satisfies quasi-contractive inequality with nonlinear comparison functions. An application in solving a class of integral equations will support our results. 1. Introduction In 1974, Ćirić presented the first fixed point result for quasi...

In this paper, we introduce the concept of d*-complete topological spaces, which include earlier defined classes of complete metric spaces and quasi b-metric spaces. Further, we prove some fixed point results for mappings defined on d*-complete topological spaces, generalizing earlier results of Tasković, Ćirić and Prešić, Prešić, Bryant, Marjanovi...

Statistical regularity of random mechanical failures of the bucket wheel excavator will be considered based on dispatcher's reports about excavator-conveyors-spreader (ECS-III) on the Tamnava-West Field Open Cast Mine in Lazarevac (Serbia) system failures in the period from 2003 to 2011. This kind of failures happens suddenly due to undetectable de...

Biće prikazano nekoliko pristupa analizi požarnih rizika, i najvažnije metode će biti ukratko opisane. Te metode imaju slične osnovne komponente parametara, vrednosti i međusobnih odnosa. Biće razmatrana ograničenja zapažena u primeni tih komponenti. U okviru ovog rada opisaćemo, u kratkim crtama, neke od najčešće primenjivanih postupaka za procenu...

In this paper, we present a new theorem on the existence of solutions for a three-function scalar equilibrium problem. Compactness is expressed in terms of the existence of feasibility sets of arbitrarily small measures of non-compactness, in addition to the completeness of the domain. Hereby we present some new results on the best approximations a...

Professor Ljubomir B. Ćirić, one of the pioneers in the study of fixed point theory and nonlinear analysis in Serbia, died on Saturday, 23th July 2016. Here, we present his brief biography, some comments on main streams of his research work and complete bibliography.

A negative answer to an open problem is provided. Fixed point results for α-ϕ-contractive mappings in semi-metric spaces are proved. To show the generality of our results, examples are given. Finally, an application of our result to probabilistic spaces is derived.

We consider the modulus of noncompact convexity ∆X,ϕ(ε) associated with the minimalizable measure of noncompactness ϕ. We present some properties of this modulus, while the main result of this paper is showing that ∆X,ϕ(ε) is a subhomogenous and continuous function on [0, (BX)) for an arbitrary minimalizable measure of compactness ϕ in the case of...

In this article random mechanical failures of bucket wheel excavator at open cast mine "Tamnava Zapad" are analysed. Random mechanical failures of mining equipment may represent an important factor in coal production because these types of failures occur unpredictably. Some of the reasons for the occurrence of such failures are unde-tectable defect...

In this paper we consider modulus of noncompact convexity ΔX,φ associated with the strictly minimalizable measure of noncompactness φ. We also give some its properties and show its continuity on the interval [0, φ(BX)).

Some fixed point results in semi-metric spaces as well as in symmetric spaces are proved. Applications of our results to probabilistic spaces are also presented.

In this paper we present further extension of the best approximations theorems obtained by Ky Fan, J. Prolla and A. Carbone.

The first part of this paper contains a theoretical definition of a language for 2D modeling - PrESMod with several characteristic definitions. This language can be used to describe forms with dimensions (constants), general dimensions (variables) and a combination of concrete and general dimensions. If the same theoretical approach used in the PrE...

In this paper we present a simple and unified approach to the fixed point results on cone symmetric spaces and metric type spaces based on symmetric spaces fixed point theory. We also give a new characterization of semi-metric spaces with open balls.

There have been a number of generalizations of fixed point results to the so called TVS-cone metric spaces, based on a distance function that takes values in some cone with nonempty interior (solid cone) in some topological vector space. In this paper we prove that the TVS-cone metric space can be equipped with a family of mutually equivalent (usua...

Recently, Du [W.-S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. (2009), doi:10.1016/j.na.2009.10.026] introduced the notion of TVS-cone metric space. In this paper we present fixed point theorem for nonlinear quasi-contractive mappings defined on TVS-cone metric space, which generalizes earlier results obtained...

The most common explicit correlations for estimation of the friction factor in rough and smooth pipes are reviewed in this paper. Comparison of any friction factor equation with the Colebrook's equation was expressed trough the mean relative error, the maximal positive error, the maximal negative error, correlation ratio and standard deviation. The...

Some common fixed point results in cone metric spaces of C. Di Bari and P. Vetro [C. Di Bari, P. Vetro, φ-pairs and common fixed points in cone metric spaces, Rend. Cir. Mat. Palermo 57 (2008), 279–285] as well as P. Raja and S.M. Vaezpour [P. Raja, S.M. Vaezpour, Some extensions of Banach’s Contraction Principle in complete metric spaces, Fixed Po...

A numerical method was developed for the analysis of the stationary and non-stationary operation of distillation columns, for mathematical model based on the concept of a theoretical tray and the ideal mixing of the phases on the tray. The approximation of the phase equilibrium equation by its Taylor polynomial is used for solving the system of equ...

In [Univ. Beograd Publ. Elektrotehn. Fak. Ser. Math. 15 (2004), 85–86], the first author of this paper proved a new inequality for the Lebesgue measure and gave some applications. Here, we present a new proof of this inequality and two its new applications.

In [Fixed Point Theory Appl. 2010, Article ID 189684 (2010; Zbl 1188.54020)], F. Khojasteh, Z. Goodarzi and A. Razani tried to generalize A. Branciari’s theorem [Int. J. Math. Math. Sci. 29, No. 9, 531–536 (2002; Zbl 0993.54040)], introducing new integral type contraction mappings. In this note, we give a counterexample to their main statement (The...

We introduce the notion of an F-cone metric space. Furthermore, we define and study contractive bounded linear operators on complete F-normed spaces. We also present some fixed point results on F-cone metric spaces, with contractive conditions on the operators which generalize some results from L.-G. Huang and X. Zhang [J. Math. Anal. Appl. 332, No...

In an earlier paper we introduced the notion of an F-cone metric space, and proved a fixed point theorem which generalizes earlier results obtained by L.-G. Huang and X. Zhang [J. Math. Anal. Appl. 332, No. 2, 1468–1476 (2007; Zbl 1118.54022)] (they have established some generalizations of Banach’s contraction mappings principles in a cone metric s...

In [8] Lj. B Ciri proved general result on the convergence of Ishikawa iterates of nonlinear quasi -contractions defined on Takahashi convex metric space. In this paper we present two generalizations o Ciri's result.

In this paper we present one generalization of S. Park's (5) matching theorem and its application in the fixed point theory.

In [4] S.-H. Cho, G.-Y. Lee, J.-S. Bae introduce (CC) property of convergence and proved some general coincidence and common fixed point theorems for self-mappings of semi-metric space which satisfies this property. Now we present some further results for this class of semi-metric spaces. We also give some open problems.

In [Appl. Math. E-Notes 3, 156–162 (2003; Zbl 1056.47036)], M. Aamri and D. El Moutawakil proved two general common fixed point theorems for self-mappings on semi-metric space. Here we show that many fixed point theorems which use contractive conditions of integral type can be obtained as corollaries.

We give new fixed point theorems for multi-valued nonlinear quasi-contractions which generalize results presented in the literature. One application of this result to the topological theory of set-valued dynamic systems will be given.

In 2003 W. A. Kirk introduced the notion of asymptotic contractions. Inthis paper we present one fixed point theorem of Kirk’s type unifying and generalizing recent results of W. A. Kirk , J. Jachymski, I. Jozwik and Y.-Z. Chen.

W. A. Kirk [J. Math. Anal. Appl. 277, No. 2, 645–650 (2003; Zbl 1022.47036)] first introduced the notion of asymptotic contractions and proved a fixed point theorem for this class of mappings. In this paper we present a fixed point theorem of Kirk type which generalizes recent results of Y.-Z. Chen [Fixed Point Theory Appl. 2005, No. 2, 213–217 (20...

In (Univ. Beograd Publ. Elektrotehn. Fak. Ser. Math. 15 (2004), 85{86), the flrst author of this paper proved a new inequality for the Lebesgue measure and gave some applications. Here, we present a new applications of this inequality.

W.A. Kirk [J. Math. Anal. Appl. 277 (2003) 645–650] first introduced the notion of asymptotic contractions and proved the fixed point theorem for this class of mappings. In this note we present a new short and simple proof of Kirk's theorem.

In this paper we present a new characterization of locally bounded topologi- cal vector spaces, which generalize earlier characterizations of Aoki (1) and Rolewicz (13). Further we shall prove that Topological vector space is '-paranormable (class introduced by S. Kasahara in 1973) if and only if it is a product of locally bounded spaces.

We prove that every upper semi-continuous multifunction whose values are nonempty, compact and acyclic sets from a nonempty, compact, convex and admissible subset of a Hausdorff topological vector space into itself has a fixed point. This generalizes results of S. Kakutani [Duke Math. J. 8, 457-459 (1941; Zbl 0061.40304)], S. Eilenberg and D. Montg...

We give a new and simple proof of O. Hadžić’s fixed point theorem [Nonlinear Anal., Theory Methods Appl. 5, No. 9, 1009-1019 (1981; Zbl 0473.47046)].

In paper [3] we introduced the notion of a F -cone metric space, and proved fixed point theorem which generalizes earlier results obtained by L.-G. Huang and X. Zhang [11] (they have established some general-izations of Banach's contraction mappings principles in a cone metric space with normal cone) and Sh. Rezapour and R. Hamlbarani [18] (who ext...