Best Proximity Point Results for Quasi Contractions of Perov Type in Non-Normal Cone Metric Space

Authors

  • Azhar Hussain Department of Mathematics, University of Sargodha, Sargodha
  • Mujahid Abbas Department of Mathematics, Government College University, Lahore 54000, Pakistan; Department of Mathematics and Applied Mathematics, University of Pretoria Hatfield 002, Pretoria, South Africa
  • Jamshaid Ahmad Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589
  • Abdullah Eqal Al-Mazrooei Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589

DOI:

https://doi.org/10.26713/cma.v10i2.1079

Keywords:

Cone metric spaces, Non-normal cones, Best proximity point, Perov contraction, Spectral radius

Abstract

In this paper, we study the notion of Ciric-Perov quasi contraction and Fisher-Perov quasi contraction and prove some best proximity point theorems for such contractions in the frame work of non-normal regular cone metric spaces. We give an example to support our result. Our results extend and generalized many existing results in literature.

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References

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Published

30-06-2019
CITATION

How to Cite

Hussain, A., Abbas, M., Ahmad, J., & Al-Mazrooei, A. E. (2019). Best Proximity Point Results for Quasi Contractions of Perov Type in Non-Normal Cone Metric Space. Communications in Mathematics and Applications, 10(2), 281–293. https://doi.org/10.26713/cma.v10i2.1079

Issue

Vol. 10 No. 2 (2019)

Section

Research Article

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