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Symmetry
Volume 11
Issue 4
10.3390/sym11040534
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Article

On Ω Class of Mappings in a p-Cyclic Complete Metric Space

by
Erdal Karapınar
1,*,
Saravanan Karpagam
2,*,
Prabavathy Magadevan
3 and
Boyan Zlatanov
4,*
1
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
2
Department of Science and Humanities, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602 105, India
3
P. G and Research Department of Mathematics, A.D.M College for Women, Bharathidasan University, Nagapattinam 611 001, India
4
University of Plovdiv, “Paisii Hilendarskiq”, 24 Tzar Assen str., 4000 Plovdiv, Bulgaria
*
Authors to whom correspondence should be addressed.
Symmetry 2019, 11(4), 534; https://doi.org/10.3390/sym11040534
Submission received: 19 February 2019 / Revised: 17 March 2019 / Accepted: 10 April 2019 / Published: 13 April 2019
Versions Notes

Abstract

In this manuscript, we introduce the concept of Ω -class of self mappings on a metric space and a notion of p-cyclic complete metric space for a natural number ( p ≥ 2 ) . We not only give sufficient conditions for the existence of best proximity points for the Ω -class self-mappings that are defined on p-cyclic complete metric space, but also discuss the convergence of best proximity points for those mappings.
Keywords: p-cyclic maps; p-cyclic contractions; strict contractions; best proximity points p-cyclic maps; p-cyclic contractions; strict contractions; best proximity points

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MDPI and ACS Style

Karapınar, E.; Karpagam, S.; Magadevan, P.; Zlatanov, B. On Ω Class of Mappings in a p-Cyclic Complete Metric Space. Symmetry 2019, 11, 534. https://doi.org/10.3390/sym11040534

AMA Style

Karapınar E, Karpagam S, Magadevan P, Zlatanov B. On Ω Class of Mappings in a p-Cyclic Complete Metric Space. Symmetry. 2019; 11(4):534. https://doi.org/10.3390/sym11040534

Chicago/Turabian Style

Karapınar, Erdal, Saravanan Karpagam, Prabavathy Magadevan, and Boyan Zlatanov. 2019. "On Ω Class of Mappings in a p-Cyclic Complete Metric Space" Symmetry 11, no. 4: 534. https://doi.org/10.3390/sym11040534

APA Style

Karapınar, E., Karpagam, S., Magadevan, P., & Zlatanov, B. (2019). On Ω Class of Mappings in a p-Cyclic Complete Metric Space. Symmetry, 11(4), 534. https://doi.org/10.3390/sym11040534

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