New fixed point results for Ciric twisted contraction with applications to market models

This manuscript aims to develop the concept of almost Ciric twisted ( ∝ , μ ) Θ-contraction and prove novel fixed point results. In this direction, several ideas and definitions from the literature have been re-evaluated. Utilising the idea of twisted ( ∝ , μ ) mappings and Θ-contraction, new result...

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Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 20 - 22
Main Authors: Khayyam Shah, Syed, Sarwar, Muhammad, Abodayeh, Kamalidin, Chasreechai, Saowaluck, Sitthiwirattham, Thanin
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 06.10.2025
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications of Mathematics
Consumption
Differential equations
Differential Geometry
Economic development
Economic growth
Equilibrium
Fixed point
Fractional calculus
Fractional differential equation
Growth models
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Multivalued Contraction Principle and its Applications: 55 years after
Topology
Θ-contraction
Fractional differential equation
Θ-contraction
Metric space
Economic growth
Fixed point
ISSN:2730-5422, 2730-5422
Online Access:Get full text
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Summary:This manuscript aims to develop the concept of almost Ciric twisted ( ∝ , μ ) Θ-contraction and prove novel fixed point results. In this direction, several ideas and definitions from the literature have been re-evaluated. Utilising the idea of twisted ( ∝ , μ ) mappings and Θ-contraction, new results of almost ciric type are presented. The inclusion of examples supports the presented results. Finally, the results are employed to guarantee the existence and ensure the uniqueness of fractional differential equations associated with the stability of the production-consumption equilibrium and economic growth model.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-025-00798-1