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Featured Article: Tykhonov well-posedness of fixed point problems in contact mechanics

History-dependent and almost history-dependent operators represent a special class of nonlinear operators defined on a space of continuous functions. They arise both in functional analysis, solid mechanics, and contact mechanics. 

The author presents two applications in the study of boundary value problems arising in contact mechanics giving the mechanical interpretation of the corresponding convergence results.  

This is a perfect illustration of how fixed point arguments can be successfully used in the variational analysis of mathematical models of contact. 

Relaunch as Fixed Point Theory and Algorithms for Sciences and Engineering

Fixed Point Theory and Algorithms for Sciences and Engineering (formerly Fixed Point Theory and Applications) has been relaunched in 2021. The journal is open for submissions and celebrates its relaunch with Topical Collections on Optimization and Real World Applications and Contact Mechanics and Engineering Applications

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This relaunch marks a shift towards a broadened scope with a clear emphasis on applications. See the aims and scope for an overview of all fields covered by the journal.

Key areas are also reflected by the various sections of the journal. Get to know all the sections and the new editorial board.  

Articles

Aims and scope

In a wide range of mathematical, computational, economical, modeling and engineering problems, the existence of a solution to a theoretical or real world problem is equivalent to the existence of a fixed point for a suitable map or operator. Fixed points are therefore of paramount importance in many areas of mathematics, sciences and engineering.

The theory itself is a beautiful mixture of analysis (pure and applied), topology and geometry. Over the last 60 years or so, the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular, fixed point techniques have been applied in such diverse fields as biology, chemistry, physics, engineering, game theory and economics.

In numerous cases finding the exact solution is not possible; hence it is necessary to develop appropriate algorithms to approximate the requested result. This is strongly related to control and optimization problems arising in the different sciences and in engineering problems. Many situations in the study of nonlinear equations, calculus of variations, partial differential equations, optimal control and inverse problems can be formulated in terms of fixed point problems or optimization.

The aim of this journal is to report new fixed point results, methods and algorithms as well as their applications in which the indispensability of the fixed point results is highlighted or is the common substrate. It will cover topics such as

·         Applications to Differential Equations and Dynamical Systems

·         Computational Methods

·         Convex and Nonlinear Analysis

·         Fractional Calculus and Fractional Differential Equations

·         Fuzzy Fixed Point Theory

·         Metric Fixed Point Theory

·         Nonlinear Analysis and Partial Differential Equations

·         Numerical Analysis and Optimization

·         Optimization and Control Theory

·         Real World Applications

·         Set-Valued and Variational Analysis

·         Social and Behavioral Sciences

·         Topological Methods in Nonlinear Analysis

This journal will accept high quality articles containing original research results and survey articles of exceptional merit. An article to be published in Fixed Point Theory and Algorithms for Sciences and Engineering must either contain some new applications to real world problems or reveal novel aspects of the theory applicable to new situations.  Fixed Point Theory and Algorithms for Sciences and Engineering uses continuous article publishing, so your article will be published immediately on the website in a single annual issue.  

 

Article collections

Metric Fixed Point Theory and Its Applications
Edited by: Ishak Altun, Lakshmi Kanta Dey, Erdal Karapinar, 
Radu Miculescu


Contact Mechanics and Engineering Applications
Edited by: Mircea Sofonea, Weimin Han


Optimization and Real World Applications
Edited by: Heinz Bauschke, Yunier Bello-Cruz, Radu Ioan Bot, Robert Csetnek, Alexander Zaslavski


Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu
Edited by: Ravi Agarwal, Juan Nieto, Adrian Petrusel


Fixed Point Theory: Theory, Computation and Applications
Edited by: Vasile Berinde, Adrian Petrusel and Radu Precup


Recent Progress in Fixed Point Theory and Applications (2015)
Edited by: Dr Inci Erhan, Prof A. Petrusel, Dr Antonio-Francisco Roldán-López-de-Hierro, Prof Erdal Karapinar


View all article collections

Annual Journal Metrics

  • 2022 Citation Impact
    0.970 - SNIP (Source Normalized Impact per Paper)
    0.435 - SJR (SCImago Journal Rank)

    2022 Speed
    11 days submission to first editorial decision for all manuscripts (Median)
    217 days submission to accept (Median)

    2022 Usage 
    258,457 downloads
    1 Altmetric mentions