Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.0
2.3
Journals
Mathematics
Special Issues
Fixed Point Theorems and Applications
share announcement

Fixed Point Theorems and Applications

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: closed (30 June 2016) | Viewed by 31803

Special Issue Editor

Prof. Dr. Pasquale Vetro

E-Mail Website
Guest Editor
Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy
Interests: fixed point theory; general topology; operator theory; real functions

Special Issue Information

Dear Colleagues,

The aim of this Special Issue is to promote research and discussion on fixed points of mappings and operators. It will reflect on the status of theoretical research on fixed point theory and their advanced applications to the solution of practical problems. A particular attention will be given to results concerning the solvability of integro-differential equations and inclusions, of which advanced applications include fluid mechanics, viscoelasticity and many other physical phenomena.

Potential topics include, but are not limited to:

  • Fixed point theorems in abstract spaces.
  • Properties of the fixed point set: data dependence, stability, well posedness.
  • Integro-differential equations and applications.
  • Operator equations and inclusions in abstract spaces.

Prof. Dr. Pasquale Vetro
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Differential equations
  • Fixed points
  • Integral operators
  • Metric spaces
  • Operator inclusions

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (4 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

263 KiB  
Article
Fixed Points of Set Valued Mappings in Terms of Start Point on a Metric Space Endowed with a Directed Graph
by Murchana Neog and Pradip Debnath
Mathematics 2017, 5(2), 24; https://doi.org/10.3390/math5020024 - 19 Apr 2017
Cited by 6 | Viewed by 3959
Abstract
In the present article, we introduce the new concept of start point in a directed graph and provide the characterizations required for a directed graph to have a start point. We also define the notion of a self path set valued map and [...] Read more.
In the present article, we introduce the new concept of start point in a directed graph and provide the characterizations required for a directed graph to have a start point. We also define the notion of a self path set valued map and establish its relation with start point in the setting of a metric space endowed with a directed graph. Further, some fixed point theorems for set valued maps have been proven in this context. A version of the Knaster–Tarski theorem has also been established using our results. Full article
(This article belongs to the Special Issue Fixed Point Theorems and Applications)
►▼ Show Figures

Figure 1

330 KiB  
Article
On Optimal Fuzzy Best Proximity Coincidence Points of Proximal Contractions Involving Cyclic Mappings in Non-Archimedean Fuzzy Metric Spaces
by Manuel De la Sen, Mujahid Abbas and Naeem Saleem
Mathematics 2017, 5(2), 22; https://doi.org/10.3390/math5020022 - 1 Apr 2017
Cited by 14 | Viewed by 3758
Abstract
The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair ( g , T ) of mappings. In particular, g is a non-contractive [...] Read more.
The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair ( g , T ) of mappings. In particular, g is a non-contractive fuzzy self-mapping, in the framework of non-Archimedean ordered fuzzy complete metric spaces and T is a p -cyclic proximal contraction. Two types of such contractions (so called of type I and of type II) are dealt with. In particular, the existence, uniqueness and limit properties for sequences to optimal fuzzy best proximity coincidence points are investigated for such pairs of mappings. Full article
(This article belongs to the Special Issue Fixed Point Theorems and Applications)
231 KiB  
Article
A Generalization of b-Metric Space and Some Fixed Point Theorems
by Tayyab Kamran, Maria Samreen and Qurat UL Ain
Mathematics 2017, 5(2), 19; https://doi.org/10.3390/math5020019 - 23 Mar 2017
Cited by 263 | Viewed by 17937
Abstract
In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our results extend/generalize many pre-existing results in literature. Full article
(This article belongs to the Special Issue Fixed Point Theorems and Applications)
241 KiB  
Article
A New Approach to Study Fixed Point of Multivalued Mappings in Modular Metric Spaces and Applications
by Dilip Jain, Anantachai Padcharoen, Poom Kumam and Dhananjay Gopal
Mathematics 2016, 4(3), 51; https://doi.org/10.3390/math4030051 - 8 Aug 2016
Cited by 14 | Viewed by 4646
Abstract
The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued F-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued F-contraction and prove [...] Read more.
The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued F-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued F-contraction and prove corresponding fixed point theorems in complete modular metric space with some specific assumption on the modular. Then we apply our results to establish the existence of solutions for a certain type of non-linear integral equations. Full article
(This article belongs to the Special Issue Fixed Point Theorems and Applications)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-4
Back to TopTop