Abstract
The theory of fixed-point points is naturally generalized to the context in which mappings are not self-maps, by the concept of best proximity points. The paper explores the presence and the uniqueness of best proximity points of Proinov-type contractions in metric spaces. A Proinov contraction is a generalization of classical contraction mappings, where there is a given inequality of the distance between image points and the corresponding domain elements. We do so by providing adequate conditions in which such contractions have best proximity points, and we have a single framework which contains known results in special cases. The contribution of our findings to the field of nonlinear analysis in general is to extend the use of fixed point techniques on non-self mappings, and we reinforce our theoretical findings with examples.
Keywords
Proinov contraction, Proximity point, Fixed point.
Citations
IRE Journals:
Suchitra Dey, Akanksha Dubey "Best Proximity Point for The Proinov Contraction" Iconic Research And Engineering Journals Volume 9 Issue 10 2026 Page 1472-1477 https://doi.org/10.64388/IREV9I10-1716342
IEEE:
Suchitra Dey, Akanksha Dubey
"Best Proximity Point for The Proinov Contraction" Iconic Research And Engineering Journals, 9(10) https://doi.org/10.64388/IREV9I10-1716342
About IRE Journals
IRE Journals is an open access online journals established with an aim to publish high quality of research work in various diciplines. We have more than 6 years in publications. Over 2500+ papers already published.
Important Links
For Authors
Volume 8:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 7:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 6:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 5:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 4:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12Volume 3:
Issue 1, Issue 2, Issue 3, Issue 4, Issue 5, Issue 6, Issue 7, Issue 8, Issue 9, Issue 10, Issue 11, Issue 12