article · Journal of Interdisciplinary Mathematics
This research explores coincidence point results for three self-mappings operating within partially ordered S-metric spaces. By incorporating the concept of specialised contractions, the investigation broadens and unifies several established findings in fixed point theory, adapting them to work across S-metric structures that feature an underlying partial order. Mathematical conditions are developed to confirm the presence and uniqueness of coincidence points across these mappings. In addition to the core theoretical derivations, a non-trivial example is offered to demonstrate how the primary theorems operate in practice. This concrete example also highlights the resilience, validity, and theoretical relevance of the mathematical outcomes within this expanded analytical framework.
Fixed point and coincidence point theorems form foundational mathematical tools used to guarantee solutions in optimisation, differential equations, and computational modelling. Extending these principles to broader, partially ordered spaces provides a more versatile mathematical framework, helping theoreticians model more complex interactions across interrelated systems.
The abstract does not indicate an application pathway, as it is purely theoretical mathematical research.
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In the present paper we study coincidence point results for three self-mappings in partially ordered S-metric spaces by using the concept of (θ,α,Υ)-type contractions.The result produced, within this more extended setting, unify and generalize several previous works in fixed point theory applying them to the framework of S-metric structures equipped with a partial order.A nontrivial example is provided to illustrate the applicability and resilience of the key theorems, which verifies the uniqueness and shows the theoretical significance of the results.
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DOI: 10.47974/jim-2625
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