Explanipedia

Note on Intuitionistic Fuzzy Metric-like Spaces with Application in Image Processing Open

Tatjana Došenović, Dušan Rakić, Nebojša Ralević, Biljana Carić · 2024

Recently, the fixed-point theorem for fuzzy contractive mappings has been investigated within the framework of intuitionistic fuzzy metric-like spaces. This interesting topic was explored through the utilization of G-Cauchy sequences as de…

Review of: "Visualizing the Contraction Mapping Theorem" Open

Tatjana Došenović · 2024

Potential competing interests: No potential competing interests to declare

Fixed point results in controlled revised fuzzy metric spaces with an application to the transformation of solar energy to electric power Open

R. Thangathamizh, Abdelhamid Moussaoui, Tatjana Došenović, Stojan Radenović · 2024

Introduction/purpose: This study establishes sufficient conditions for a sequence to be Cauchy within the framework of controlled revised fuzzy metric spaces. It also generalizes the concept of Banach's contraction principle by introducing…

On Horizontal Fuzzy Relations and Hypotheses Testing Open

Aleksandar Takači, Ivana Štajner-Papuga, Zagorka Lozanov-Crvenković, Dragan Jočić, Gabrijela Grujić , et al. · 2024

Making decisions in conditions of uncertainty is one of today's everyday problems.Various statistical models have found their place in practical applications, however working with imprecise, quite often fuzzy valued, data is still a challe…

Fixed Point Results in Generalized Menger Probabilistic Metric Spaces with Applications to Decomposable Measures Open

Huaping Huang, Tatjana Došenović, Dušan Rakić, Stojan Radenović · 2023

The aim of this paper is to give some fixed point results in generalized Menger probabilistic metric spaces. Moreover, some nontrivial examples are presented to illustrate the superiority of the obtained results. In addition, several inter…

Ćirić type nonunique fixed point theorems in the frame of fuzzy metric spaces Open

Tatjana Došenović, Dušan Rakić, Stojan Radenović, Biljana Carić · 2022

The paper defines a new contractive condition within $ \kappa- $orbitally complete fuzzy metric spaces $ (\Theta, \mathcal{M}, \mathcal{T}) $, as well as fixed point theorems for single-valued and multi-valued function on $ \Theta $ which …

Some New Observations on Generalized Contractive Mappings and Related Results in b-Metric-Like Spaces Open

Tatjana Došenović, Manuel De la Sen, Ljiljana Paunović, Dušan Rakić, Stojan Radenović · 2021

In this paper, we consider, discuss, complement, improve, generalize, and enrich some fixed point results obtained for β−ψ1−ψ2− contractive conditions in ordered b-metric-like spaces. By using our new approach for the proof that one Picard…

Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F-Contraction Open

Huaping Huang, Biljana Carić, Tatjana Došenović, Dušan Rakić, Mirjana Brdar · 2021

The purpose of this paper is to introduce a new type of contraction called fuzzy F-contraction. As compared to the F-contraction in the existing literature, our fuzzy F-contraction is much simpler and more straightforward, since it contain…

Fixed Point Theory For Fuzzy Contractive Mappings Open

Dhananjay Gopal, Tatjana Došenović · 2021

On Jungck–Branciari–Wardowski Type Fixed Point Results Open

Biljana Carić, Tatjana Došenović, Reny George, Zoran D‎. Mitrović, Stojan Radenović · 2021

The terms of F−integral contraction as well as (ϖ,ζ˜,F,i)−integral contraction are introduced. Fixed point and common fixed point theorems are established. For the mapping F we use only the supposition that it is strictly increasing. As a …

Control of the size and compositional distributions in a milling process by using a reverse breakage matrix approach Open

Nemanja Bojanić, Aleksandar Fišteš, Tatjana Došenović, Aleksandar Takači, Mirjana Brdar , et al. · 2021

A method based on the reverse breakage matrix approach is proposed for controlling the effects that milling has on the particle size distribution and composition of the comminuted material. Applicability, possibilities, and limitations of …

On some new fixed point results in fuzzy b-metric spaces Open

Dušan Rakić, Aiman Mukheimer, Tatjana Došenović, Zoran D‎. Mitrović, Stojan Radenović · 2020

This paper consists of several fixed point theorems in the fuzzy b -metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b -metric space. Thus we simplify the proofs of many fixed p…

Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces Open

Dušan Rakić, Tatjana Došenović, Zoran D‎. Mitrović, Manuel De la Sen, Stojan Radenović · 2020

The main aim of the current paper is the investigation of possibilities for improvements and generalizations contractive condition of Ćirić in the fuzzy metric spaces. Various versions of fuzzy contractive conditions are studied in two dir…

Some new results on (s,q)-Dass-Gupta-Jaggi type contractive mappings in b-metric-like spaces Open

Nicola Fabiano, Tatjana Došenović, Dušan Rakić, Stojan Radenović · 2020

In this paper we consider cyclic (s-q)-Dass-Gupta-Jaggi type contractive mapping in b-metric like spaces. By using our new approach for the proof that one Picard?s sequence is Cauchy in the context of b-metric-like space, our results gener…

Some Results on (s − q)-Graphic Contraction Mappings in b-Metric-Like Spaces Open

Manuel De la Sen, Nebojša Nikolić, Tatjana Došenović, Mirjana Pavlović, Stojan Radenović · 2019

In this paper we consider ( s − q ) -graphic contraction mapping in b-metric like spaces. By using our new approach for the proof that a Picard sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and c…

On Fixed Point Results in Gb-Metric Spaces Open

Hassen Aydi, Dušan Rakić, A. Aghajani, Tatjana Došenović, Mohd Salmi Md Noorani , et al. · 2019

The purpose of this paper is to consider various results in the context of G b -metric spaces that have been recently published after the paper (Aghajani, A.; Abbas, M.; Roshan, J.R. Common fixed point of generalized weak contractive mappi…

Some Presic Type Results in $b-$Dislocated Metric Spaces Open

Ajesh Babu, Tatjana Došenović, Md. Mustaq Ali, Stojan Radenović, K. P. R. Rao · 2019

In this paper, we obtain a Pre\v{s}i\'{c} type common fixed point theorem for four maps in $b$-dislocated metric spaces. We also present one example to illustrate our main theorem. Further, we obtain two more corollaries.

$C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions Open

Arslan Hojat Ansari, Tatjana Došenović, Stojan Radenović, Jeong Sheok Ume · 2019

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the intro…

Rational contraction in multiplicative metric spaces Open

Tatjana Došenović, Stojan Radenović · 2018

The purpose of this paper is to prove that instead of a rational contraction shown in the papers Afrah A. N. Abdou, \emph{Fixed point theorems for generalized contraction mappings in multiplicative metric spaces, }J. Nonlinear Sci.Appl. 9,…

Note on recent common coupled fixed point results in multiplicative metric spaces Open

Huaping Huang, Guantie Deng, Tatjana Došenović, Nawab Hussain · 2018

The purpose of this paper is to improve and complement the main results of Jiang and Gu (J. Nonlinear Sci. Appl., 10 (2017), 1881–1895). By using nontrivial methods, some common coupled fixed point results in metric spaces are obtained. Mo…

α-type fuzzy H-contractive mappings in fuzzy metric spaces Open

Ismat Beg, Dhananjay Gopal, Tatjana Došenović, Dušan Rakić · 2018

We introduce a new concept of α-fuzzy H-contractive mapping which is essentially weaker than the class of fuzzy contractive mapping and stronger than the concept of α-φ-fuzzy contractive mapping.For this type of contractions, the existence…

Common fixed point of four maps in S-metric spaces Open

Shaban Sedghi, N. Shobkolaei, Maryam Shahraki, Tatjana Došenović · 2018

In this paper, we prove some common fixed point results for four mappings satisfying generalized contractive condition in S-metric space. Our results extend and improve several previous works.

On some known fixed point results in the complex domain: Survey Open

Tatjana Došenović, Henk Koppelaar, Stojan Radenović · 2018

"In this survey paper, we consider some known results from the fixed point theory with complex domain. The year 1926 is very significant for this subject. This is the beginning of the research and application of the fixed point theory in c…

Ansari's method in generalizations of some results in the fixed point theory: Survey Open

Tatjana Došenović, Stojan Radenović · 2018

"The aim of this paper is to show that the C-class function introduced by A. H. Ansari is a powerful weapon for the generalization of many important results in the theory of fixed points. "

On {$\alpha _{\,\beta }$}-contractive and admissible mappings Open

Sumit Chandok, Arslan Hojat Ansari, Tatjana Došenović, Stojan Radenović · 2018

In this paper, we introduce the concept of a pair .f;h/ called upper class of type II and ˛ˇ-contractive mappings.We obtain that all the corresponding established results of Hussain et al. [7] are immediately consequences of our main resul…

Bentonite as environmental frendly sorption material for sugar beet molasses purification Open

Miljana Djordjević, Zita Šereš, Marijana Djordjević, Dragana Šoronja–Simović, Nikola Maravić , et al. · 2017

23rd International Symposium on Analytical and Environmental Problems, Szeged, Hungary, 9-10. October 2017

Coupled coincidence point theorems for (α-μ-ψ-H-F)-two sided-contractive type mappings in partially ordered metric spaces using compatible mappings Open

Arslan Hojat Ansari, Diana Dolicanin-Djekic, Tatjana Došenović, Stojan Radenović · 2017

Using the concepts of a pair upclass, ?-admissible and ?-subadmissible mappings in this paper, are proven a coupled coincidence point results for mappings F : X2 ? X and g : X ? X. In this way, recent papers [27, 33] have been reformed and…

Contractive conditions in b-metric spaces Open

Tatjana Došenović, Mirjana Pavlović, Stojan Radenović · 2017

"he purpose of this paper is to consider various contractive conditions in b-metric spaces which have been recently published. Our results improve and complement many recent results from this field. Using the recently obtained result by R.…

A note on the paper "A fixed point theorems in Sb-metric spaces" Open

Yumnam Rohen, Tatjana Došenović, Stojan Radenović · 2017

Very recently, N. Souayan and N. Mlaiki [Nazir Souayan and Nabil Mlaiki, A fixed point theorem in Sb-metric spaces, J. Math. Comput. Sci. 16 (2016), 131-139] and S. Sedghi et al. [S. Sedghi, A. Gholidahneb, T. Dosenovic, J. Esfahani, S. Ra…

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

Shaban Sedghi, Mohammad Mahdi Rezaee, Tatjana Došenović, Stojan Radenović · 2016

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, comple…

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