Everything about Multivalued function

🧭 Start here: a 6-step reading path

1. Read the overview: Multivalued functionA 5-minute orientation
2. Skim a recent paper: Construction of multivalued cryptographic boolean function using recurrent neural network and its application in image encryption schemeInfluential work since 2022
3. Pick up a classic book: Database system conceptsThe most-reprinted book on the subject
4. Read the landmark paper: Infinite Iterated Function Systems: A Multivalued ApproachCited 48 times
5. Go sideways: Principal valueA closely related topic
6. Go sideways: Branch pointA closely related topic

🏆 Landmark papers (most cited)

• Infinite Iterated Function Systems: A Multivalued Approach

  K. Leśniak · 2004 · Bulletin of the Polish Academy of Sciences Mathematics · 48 citations

• Periodic Activation Function and a Modified Learning Algorithm for the Multivalued Neuron

  Igor Aizenberg · 2010 · IEEE Transactions on Neural Networks · 28 citations

• An inverse-function theorem for a class of multivalued functions

  Stephen M. Robinson · 1973 · Proceedings of the American Mathematical Society · 22 citations

• Graph-Based Function Perturbation Analysis for Observability of Multivalued Logical Networkss

  Shuling Wang, Haitao Li · 2021 · IEEE Transactions on Neural Networks and Learning Systems · 19 citations

• Multivalued threshold functions

  N. N. Aizenberg, Yu. L. Ivas'kiv, D. A. Pospelov · 1975 · Cybernetics · 19 citations

• Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces

  Safeer Hussain Khan, Mujahid Abbas · 2014 · Fixed Point Theory and Applications · 13 citations

• Open Mapping, Inversion and Implicit Function Theorems for Analytic Multivalued Functions

  T. J. Ransford · 1984 · Proceedings of the London Mathematical Society · 12 citations

• Belief function and multivalued mapping robustness in statistical estimation

  Alessio Benavoli · 2014 · International Journal of Approximate Reasoning · 9 citations

🆕 Influential since 2022

• Construction of multivalued cryptographic boolean function using recurrent neural network and its application in image encryption scheme

  Nabilah Abughazalah, Asim Latif, Muhammad Waseem Hafiz · 2022 · Artificial Intelligence Review · 16 citations

• Construction of optimum multivalued cryptographic Boolean function using artificial bee colony optimization and multi-criterion decision-making

  Nabilah Abughazalah, Lal Said, Majid Khan · 2023 · Soft Computing · 14 citations

• On interpolative Hardy-Rogers type multivalued contractions via a simulation function

  Erdal Karapınar, Ahsan Ali, Azhar Hussain · 2022 · Filomat · 9 citations

• Hybrid multi-criteria decision-making technique for the selection of best cryptographic multivalued Boolean function

  Nabilah Abughazalah, Majid Khan, Mohsin Iqbal · 2023 · Complex & Intelligent Systems · 9 citations

• Oligopolistic markets with leadership, cooperative followers and a multivalued inverse demand function

  Zhe Yang, Li Li · 2022 · Operations Research Letters · 6 citations

📚 Books worth reading

• Database system conceptsAbraham Silberschatz · 1997
• Espaces topologiques, fonctions multivoquesClaude Berge · 1963
• Handbook of multivalued analysisShouchuan Hu, N.S. Papageorgiou · 1997
• 📕Antitrust and the Multivalued Function of CompetitionLuiz Felipe Rosa Ramos · 2021
• 📕Topological spaces,including a treatmentof multivalued functions, vector spaces and convexityClaude Berge · 1963
• Handbook of Multivalued Analysis : Volume IIShouchuan Hu, Nikolaos S. Papageorgiou · 2013
• Multivalued analysis and nonlinear programming problems with perturbationsBernd Luderer, B. Luderer · 2002
• 📕La Théorie des points fixes et ses applications à l'analyse / K. Geba ... [et. al.]. · 1975

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Principal value In mathematics, specifically complex analysis, a multivalued function has often the property that, near almost every point, the graph of the function is…
• Branch point In the mathematical field of complex analysis, a branch point of a multivalued function is a point such that if the function is n-valued (has n values)…
• Inverse trigonometric functions In mathematics, the inverse trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions…
• Complex logarithm In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers. The term refers to one of the following, which…
• Inverse hyperbolic functions In mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in…
• Exponentiation In mathematics, exponentiation, denoted bn, is an operation involving two numbers: the base, b, and the exponent, n. When n is a positive integer, exponentiatio…
• Algebraic function In mathematics, an algebraic function is a function that satisfies a polynomial equation. Thus an equation of the following form holds: an(x)f(x)n+an−…
• Inverse function In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists…