Existence of best proximity points satisfying two constraint inequalities

Duraisamy Balraj; Muthaiah Marudai; Zoran D. Mitrovic; Ozgur Ege; Veeraraghavan Piramanantham; Duraisamy Balraj; Muthaiah Marudai; Zoran D. Mitrovic; Ozgur Ege; Veeraraghavan Piramanantham

doi:10.3934/era.2020028

Electronic Research Archive

2020, Volume 28, Issue 1: 549-557. doi: 10.3934/era.2020028

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Existence of best proximity points satisfying two constraint inequalities

1.
Department of Mathematics, Bharathidasan University, Trichirapalli, Tamilnadu, India
2.
University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
3.
Department of Mathematics, Ege University, Bornova, 35100, Izmir, Turkey

Received: 01 December 2019
Primary: 47H09; Secondary: 47H10

In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint inequalities.
- Best proximity,
- constraint inequalities,
- coupled best proximity point,
- weak proximal contraction,
- Kannan mapping
Citation: Duraisamy Balraj, Muthaiah Marudai, Zoran D. Mitrovic, Ozgur Ege, Veeraraghavan Piramanantham. Existence of best proximity points satisfying two constraint inequalities[J]. Electronic Research Archive, 2020, 28(1): 549-557. doi: 10.3934/era.2020028

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Abstract

In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint inequalities.

References

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