On the Impact of Some Fixed Point Theorems on Dynamic Programming and RLC Circuit Models in R -Modular b -Metric-like Spaces.

Autor:	Girgin, Ekber, Büyükkaya, Abdurrahman, Kuru, Neslihan Kaplan, Öztürk, Mahpeyker
Předmět:	FUNCTIONAL equations PARALLEL electric circuits RESISTOR-inductor-capacitor circuits INITIAL value problems DYNAMIC programming FIXED point theory
Zdroj:	Axioms (2075-1680); Jul2024, Vol. 13 Issue 7, p441, 22p
Abstrakt:	In this study, we significantly extend the concept of modular metric-like spaces to introduce the notion of b-metric-like spaces. Furthermore, by incorporating a binary relation R , we develop the framework of R -modular b-metric-like spaces. We establish a groundbreaking fixed point theorem for certain extensions of Geraghty-type contraction mappings, incorporating both simulation function and E -type contraction within this innovative structure. Moreover, we present several novel outcomes that stem from our newly defined notations. Afterwards, we introduce an unprecedented concept, the graphical modular b-metric-like space, which is derived from the binary relation R. Finally, we examine the existence of solutions for a class of functional equations that are pivotal in dynamic programming and in solving initial value problems related to the electric current in an RLC parallel circuit. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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