Existence of Best Proximity Points for
Generalized (α-η) – Rational Proximal
Contraction

Anil Kumar; Savita Rathee; Kusum Dhingra

doi:https://doi.org/10.14445/22315373/IJMTT-V52P574

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 8 | Year 2017 | Article Id. IJMTT-V52P574 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P574

Existence of Best Proximity Points for Generalized (α-η) – Rational Proximal Contraction

Anil Kumar, Savita Rathee, Kusum Dhingra

Abstract

In this work, we introduce the concept of generalized α-η- rational proximal contraction of first and second kind. Then we establish some best proximity theorems for such kind of contraction in the framework of metric spaces. The presented results generalize and improve several existing results in the best proximity theory.

Keywords

optimal approximate solution; best proximity point; generalized rational proximal contraction; fixed point.

References

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Citation :

Anil Kumar, Savita Rathee, Kusum Dhingra, "Existence of Best Proximity Points for Generalized (α-η) – Rational Proximal Contraction," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 8, pp. 528-536, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P574