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Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory
by
Ramesh Kumar, D.
, Monica, S.
in
Adaptive control
/ Algorithms
/ Analysis
/ Biology and Life Sciences
/ Computer Simulation
/ Conditioning, Operant
/ Ecology and Environmental Sciences
/ Fixed point theory
/ Functional equations
/ Functions
/ Humans
/ Medicine and Health Sciences
/ Models, Psychological
/ Models, Theoretical
/ Operant conditioning
/ Physical Sciences
/ Research and Analysis Methods
/ Social Sciences
2026
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Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory
by
Ramesh Kumar, D.
, Monica, S.
in
Adaptive control
/ Algorithms
/ Analysis
/ Biology and Life Sciences
/ Computer Simulation
/ Conditioning, Operant
/ Ecology and Environmental Sciences
/ Fixed point theory
/ Functional equations
/ Functions
/ Humans
/ Medicine and Health Sciences
/ Models, Psychological
/ Models, Theoretical
/ Operant conditioning
/ Physical Sciences
/ Research and Analysis Methods
/ Social Sciences
2026
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Do you wish to request the book?
Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory
by
Ramesh Kumar, D.
, Monica, S.
in
Adaptive control
/ Algorithms
/ Analysis
/ Biology and Life Sciences
/ Computer Simulation
/ Conditioning, Operant
/ Ecology and Environmental Sciences
/ Fixed point theory
/ Functional equations
/ Functions
/ Humans
/ Medicine and Health Sciences
/ Models, Psychological
/ Models, Theoretical
/ Operant conditioning
/ Physical Sciences
/ Research and Analysis Methods
/ Social Sciences
2026
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Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory
Journal Article
Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory
2026
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Overview
This paper presents a generalized form of the functional equation used in operant-control models by removing the requirement for initial conditions. The proposed formulation extends earlier studies in mathematical psychology and provides a broader analytical framework for modeling operant-control behavior. Using the Matkowski fixed point theorem, we prove the existence and uniqueness of a probabilistic solution to the generalized equation. Illustrative examples and simulations are included to demonstrate the validity of the theoretical results. This work shows that fixed point theory can effectively support the formulation and analysis of control-based behavioral models.
Publisher
Public Library of Science,PLOS,Public Library of Science (PLoS)
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