
handle: 20.500.12619/102178
The current study attempts to identify a new generalized metric space structure, referred to as partial modular b−metric, that extends both partial modular metric space via b−metric space and explains the topological aspects of the new space implementing examples. In addition, a new contraction mapping referred to as modified interpolative almost E−type contraction is determined, which is an interpretation of interpolative contraction bestowed with almost contraction and E−contraction as well as a simulation function and a fixed point theorem that encompass such mappings in the context of partial modular b−metric space is demonstrated. In conclusion, an example and an application that endorse the main theorem’s outcomes are offered.
simulation function, İnterpolative Contraction, partial modular <named-content content-type="inline"><inline-formula> <mml:math id="mm10003"> <mml:semantics> <mml:mrow> <mml:mi>b</mml:mi> <mml:mo>−</mml:mo> </mml:mrow> </mml:semantics> </mml:math> </inline-formula></named-content>metric space, Partial Modular B-Metric Space, interpolative contraction, Simulation Function
simulation function, İnterpolative Contraction, partial modular <named-content content-type="inline"><inline-formula> <mml:math id="mm10003"> <mml:semantics> <mml:mrow> <mml:mi>b</mml:mi> <mml:mo>−</mml:mo> </mml:mrow> </mml:semantics> </mml:math> </inline-formula></named-content>metric space, Partial Modular B-Metric Space, interpolative contraction, Simulation Function
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