Integral type contractions and best proximity points

محورهای موضوعی : Fixed point theory

K. Fallahi ¹ , F. Esmaeilnia ² , A. Pourmoslemi ³

1 - Department of Mathematics, Payame Noor University, Tehran, Iran
2 - Department of Mathematics, Payame Noor University, Tehran, Iran
3 - Department of Mathematics, Payame Noor University, Tehran, Iran

تاریخ دریافت : 1401/12/07 تاریخ پذیرش : 1402/01/09 تاریخ انتشار : 1402/01/10

کلید واژه: Integral type contraction, Best proximity point, Lebesgue-integrable function, graph proximal,

چکیده مقاله :

‎In the present work‎, ‎Banach and Kannan integral type contractions in metric spaces endowed with a graph are considered and‎ ‎the existence and uniqueness of best proximity points for mappings satisfying in these contractions are proved‎.

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