Fixed Point Theory

Scope & Guideline

Bridging Theory and Application in Mathematics

Introduction

Welcome to the Fixed Point Theory information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of Fixed Point Theory, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN1583-5022
PublisherHOUSE BOOK SCIENCE-CASA CARTII STIINTA
Support Open AccessNo
CountryRomania
TypeJournal
Convergefrom 2008 to 2024
AbbreviationFIXED POINT THEOR-RO / Fixed Point Theory
Frequency2 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address6-8 EROILOR ST, CLUJ-NAPOCA 400129, ROMANIA

Aims and Scopes

The journal 'Fixed Point Theory' specializes in the exploration and development of fixed point theory across various mathematical frameworks and applications. It emphasizes theoretical advancements, algorithmic approaches, and interdisciplinary applications of fixed point concepts.
  1. Fixed Point Theorems and Principles:
    The journal publishes research on various fixed point theorems applicable to different types of spaces, including metric, b-metric, and partially ordered spaces, contributing to the theoretical foundation of fixed point theory.
  2. Applications in Nonlinear Analysis:
    Research often explores applications of fixed point theory in nonlinear analysis, including variational inequalities, equilibrium problems, and optimization, showcasing the practical relevance of fixed point results.
  3. Developments in Algorithmic Techniques:
    A significant focus is on the development and analysis of algorithms for approximating fixed points, including iterative methods and convergence analysis, which are crucial for solving real-world mathematical problems.
  4. Exploration of Generalized Spaces:
    The journal addresses fixed point results in generalized spaces, such as fuzzy metric spaces and quasi-metric spaces, expanding the applicability of fixed point theory to broader contexts.
  5. Interdisciplinary Applications:
    Research often highlights interdisciplinary applications of fixed point theory, including its use in game theory, differential equations, and other areas, demonstrating its versatility and importance in mathematics.
Recent publications in 'Fixed Point Theory' reveal several emerging themes and trends that indicate the journal's evolving focus and the interests of the mathematical community.
  1. Applications in Fractional Differential Equations:
    A notable trend is the increasing emphasis on fixed point theory in the context of fractional differential equations, highlighting the relevance of fixed points in modern mathematical analysis and its applications to real-world problems.
  2. Complex and Generalized Mappings:
    Research is increasingly exploring complex mappings, including generalized and multi-valued mappings, indicating a shift towards understanding fixed point properties in more intricate mathematical structures.
  3. Interdisciplinary Approaches:
    There is a rising trend in interdisciplinary studies that connect fixed point theory with fields such as game theory, optimization, and control theory, showcasing the broader implications and applications of fixed point results.
  4. Innovative Algorithm Development:
    The journal is seeing a surge in research dedicated to innovative algorithm development for fixed point approximations, reflecting the practical needs for efficient computational methods in solving complex mathematical problems.
  5. Nonlinear and Asymptotic Analysis:
    Emerging themes include a focus on nonlinear and asymptotic analyses related to fixed point problems, indicating a growing interest in understanding the behavior of solutions in various mathematical contexts.

Declining or Waning

While the journal continues to thrive in many areas, certain themes appear to be waning in prominence. This may reflect shifts in research focus or the maturation of previously popular topics.
  1. Traditional Fixed Point Results:
    There seems to be a declining interest in classical fixed point results that do not expand into new frameworks or applications, as researchers increasingly seek innovative approaches and applications.
  2. Basic Metric Space Results:
    Research focusing solely on fixed point results in basic metric spaces without considering more complex or generalized settings is becoming less frequent, suggesting a shift towards more advanced theoretical constructs.
  3. Single-Valued Mapping Focus:
    Studies that exclusively address single-valued mappings are diminishing, with a growing emphasis on multi-valued mappings and their complexities, reflecting an evolution in the types of problems being explored.

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