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Metric Fixed Point Theory and Its Applications

Edited by:
Ishak Altun, Kırıkkale University, Turkey
Lakshmi Kanta Dey, National Institute of Technology Durgapur, India
Erdal Karapinar, China Medical University, Taiwan
Radu Miculescu, Transilvania University, Romania

Submission Status: Open   |   Submission Deadline: 31 October 2024 


Fixed Point Theory and Algorithms for Sciences and Engineering is calling for submissions to our Collection on 'Metric Fixed Point Theory and Its Applications.' This Collection intends to collect relevant works related to the theory of fixed points and its applications in various metrical structures. 

About the Collection

Fixed Point Theory and Algorithms for Sciences and Engineering is calling for submissions to our Collection on 'Metric Fixed Point Theory and Its Applications.' 

One of the most dynamic area of research of the last 100 years (actually, the metric fixed point theory was born in 1922 with the publication of the Contraction Principle by the Polish mathematician Stefan Banach), the metric fixed point theory developed both as a theory in itself, as well as a tool for solving several problems related to other theoretical and applied areas, such as nonlinear analysis, integral and differential equations and inclusions, dynamical systems theory, optimization, variational analysis, mathematics of fractals, game theory, equilibrium theory, mathematical modeling etc. This Collection intends to collect relevant works related to the theory of fixed points and its applications in various metrical structures. 

These include (but are not limited to) fixed point, coincidence point, common fixed point and zero point results (theory, computation and applications) for single-valued and multi-valued mappings in: 

- Hilbert space 

- Banach spaces 

- Metric spaces  

- Generalized metric spaces 

- Uniform/gauge spaces 

- Modular spaces 

- Geodesic spaces etc. 

as well as metrical structures endowed with a complementary structure (e.g. order structure, graph structure etc). 

  1. In this manuscript, we introduce a new class of uniformly L-Lipschitzian and total asymptotically quasi-nonexpansive mappings, which is significantly more general than many known nonexpansive mappings that appear...

    Authors: Buraskorn Nuntadilok, Pitchaya Kingkam, Jamnian Nantadilok and Khanitin Samanmit
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2024 2024:12
    Content type: Research Published on:

  2. This article focuses on studying some fixed-point results via Ϝ-contraction of Hardy–Rogers type in the context of supermetric space and ordered supermetric space. We also introduced rational-type z-contraction o...

    Authors: Kamaleldin Abodayeh, Syed Khayyam Shah, Muhammad Sarwar, Varaporn Wattanakejorn and Thanin Sitthiwirattham
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2024 2024:11
    Content type: Research Published on:

  3. In this study, we manifest a new class of mappings that satisfy Geraghty–Ćirić-type contractive conditions in the context of b-metric spaces and prove a theorem on the existence and uniqueness of fixed points. Ou...

    Authors: Albray Gebremariam Kalo, Kidane Koyas Tola and Haider Ebrahim Yesuf
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2024 2024:8
    Content type: Research Published on:

Submission Guidelines

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This Collection welcomes submission of Research Articles. Should you wish to submit a different article type, please read our submission guidelines to confirm that type is accepted by the journal. 

Articles for this Collection should be submitted via our submission system, Snapp. Please, select the appropriate Collection title “Metric Fixed Point Theory and Its Applications" under the “Details” tab during the submission stage.

Articles will undergo the journal’s standard peer-review process and are subject to all the journal’s standard policies. Articles will be added to the Collection as they are published.

The Editors have no competing interests with the submissions which they handle through the peer-review process. The peer-review of any submissions for which the Editors have competing interests is handled by another Editorial Board Member who has no competing interests.