Annales Mathematicae Silesianae
Scope & Guideline
Fostering Original Ideas in Mathematics
Introduction
Aims and Scopes
- Functional Equations:
The journal regularly publishes articles on functional equations, exploring their properties, solutions, and applications across different mathematical contexts. - Algebra and Number Theory:
Research articles often delve into algebraic structures, including groups, rings, and number systems, highlighting unique results and generalizations. - Metric and Topological Spaces:
A consistent focus is placed on the study of metric spaces, particularly through fixed point theorems and proximity point results, which are pivotal in analysis. - Inequalities and Convexity:
Papers frequently address inequalities, especially those related to convex functions, providing insights into their behavior and applications in various fields. - Graph Theory and Combinatorics:
The journal includes contributions on graph theory, particularly regarding graph operations and properties, reflecting its relevance in combinatorial mathematics. - Dynamical Systems and Stochastic Processes:
There is a growing interest in dynamical systems and stochastic processes, examining their complexities and interactions within mathematical frameworks.
Trending and Emerging
- Advanced Functional Equations:
There is a significant uptick in studies related to advanced functional equations, reflecting a growing interest in their applications across various mathematical disciplines. - Metric and Non-Standard Spaces:
Research on PIV-S-metric spaces and other non-standard spaces is gaining momentum, indicating a trend towards exploring new frameworks in analysis. - Hybrid and Generalized Number Sequences:
The exploration of hybrid and generalized number sequences, such as Jacobsthal and Pell numbers, is increasingly popular, showcasing a trend towards innovative generalizations in number theory. - Applications of Graph Theory:
The application of graph theory to solve complex mathematical problems is trending, emphasizing its significance in combinatorial optimization and network theory. - Inequalities in Stochastic Settings:
Research focusing on inequalities within stochastic processes and their implications is emerging as a key area, reflecting the intersection of probability and analysis.
Declining or Waning
- Classical Analysis Techniques:
There has been a noticeable decrease in publications focusing solely on classical analysis techniques, as contemporary research increasingly integrates more advanced or interdisciplinary approaches. - Elementary Number Theory:
Papers centered on elementary aspects of number theory, such as simple properties of integers, are becoming less frequent, possibly due to a shift towards more complex and abstract formulations. - Basic Probability Theory:
The exploration of foundational concepts in probability theory is waning, as the journal increasingly emphasizes applications in stochastic processes rather than elementary probability. - Traditional Algebraic Structures:
Research focused on traditional algebraic structures without innovative applications or connections to modern mathematical theories seems to be less prevalent.
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