Tatjana Došenović

A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations

In this paper we obtain some equivalences between cyclic contractions and non-cyclic contractions in the framework of b-metric spaces. Our results improve and complement several recent fixed point results for cyclic contractions in b -metric spaces established by George et?al. (2015) and Nashine et?al. (2014). Moreover, all the results are with much shorter proofs. In addition, an application to integral equations is given to illustrate the usability of the obtained results.

Inequalities of Jensen and Chebyshev Type for Interval-Valued Measures Based on Pseudo-integrals

Since interval-valued measures have applications in number of practical areas, this paper is focused on two approaches to this problem as well as on the corresponding generalizations of the Jensen and the Chebyshev integral inequalities. The first approach is based on an interval-valued measure defined by the pseudo-integral of interval-valued function, while the second approach considers an interval-valued measure obtained through pseudo-integrals of real-valued functions.

On fixed point theorems involving altering distances in Menger probabilistic metric spaces

In this paper, we show by means of an example that the results of Babačev (Appl. Anal. Discrete Math. 6:257-264, 2012) do not hold for the class of t-norms T≤Tp. Further, we prove a fixed point theorem for quasi-type contraction involving altering distance functions which is weaker than that proposed by Babačev but for any continuous t-norm in a complete Menger space.MSC:47H10, 54H25.

Edelstein-suzuki-type results for self-mappings in various abstract spaces with application to functional equations

Abstract The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.

A fixed point theorem for a special class of probabilistic contraction

AbstractIn this paper, a special class of probabilistic contraction will be considered. Using the theory of countable extension of t-norms, we proved a fixed point theorem for such a class of mappings f : S → S, where (S,F,T) is a Menger space. Mathematics Subject Classification (2000) 54H25, 47H10

Fixed point results of Suzuki type

The problem of Suzuki type mappings is currently one of the most interesting topics in the fixed point field. In this paper a fixed point results of Suzuki type using multivalued mappings in fuzzy metric spaces is presented. This solution will improve the current state of art in the field and open Suzuki type problems for further applications.

USING THE BREAKAGE MATRIX APPROACH FOR MONITORING THE BREAK RELEASE IN THE WHEAT FLOUR MILLING PROCESS

BACKGROUND The breakage matrix approach is a mathematical tool to relate input and output particle size distribution from a milling operation. Adjustment of the break release in the flour milling process is extremely important because it affects granulation and quality characteristics of the stock and hence the total results and balance of the mill. In this study the breakage matrix approach has been used for the purpose of controlling the release on the front passages of the break system in the flour milling process. RESULTS It has been established that, for any particle size distribution of wheat, it is possible to predict break releases together with the distribution of the release size fractions by using the breakage matrices. Also, the reversibility of this approach is examined, that is the possibility to identify the wheat particle size distribution that would result in desired break releases and/or the desired yields of different sized intermediate stocks under the given set of milling conditions. CONCLUSION It is confirmed that the breakage matrix approach can be successfully used to predict the break releases. The reverse breakage matrix concept allows the determination of the wheat particle size distribution which would result in a targeted break release.

Common fixed point theorems for contractive mappings satisfying Φ-maps in S-metric spaces

Abstract In this paper we prove the existence of the unique fixed point for the pair of weakly compatible self-mappings satisfying some Ф-type contractive conditions in the framework of S-metric spaces. Our results generalize, extend, unify, complement and enrich recently fixed point results in existing literature.

On a common fixed point theorem in quasi-uniformizable spaces

In this paper it will be proved a common fixed point theorem in sequentially complete Hausdorff quasi-uniformizable space. Since every Menger space (S, F, T), where supT(a, a) = a<1 1 is a quasi-uniformizable space a corollaries on common fixed points in Menger spaces are obtained.

Common fixed point theorem in complete fuzzy metric spaces

In this paper using the notion of compatible and weakly f-compatible mapping, and the notion of countable extension of t-norm we prove a common fixed point theorem for four mappings in complete fuzzy metric space.