Best proximity of proximal $\mathcal{F}^*$-weak contraction
محورهای موضوعی : Fixed point theory
M. Salamatbakhsh
1
(
Department of Mathematics, Payame Noor University, Tehran, Iran
)
R. H. Haghi
2
(
Department of Mathematics, Payame Noor University, Tehran, Iran
)
K. Fallahi
3
(
Department of Mathematics, Payame Noor University, Tehran, Iran
)
کلید واژه: Best Proximity point, approximatively compact, cyclically Cauchy sequence, uniform approximation, quasi-continuous, proximal $mathcal{F}^{*}$-weak contraction, $mathcal{S}$-approximation,
چکیده مقاله :
Best proximity point theorems for self-mappings were investigated with different conditions on spaces for contraction mappings. In this paper, we prove best proximity point theorems for proximal $\mathcal{F}^{*}$-weak contraction mappings.
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