Optimal Approximate Solution for Generalized Contraction Mappings

Authors

  • Somayya Komal Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan; Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand
  • Nazra Sultana Department of Mathematics, University of Sargodha, Sargodha-40100
  • Azhar Hussain Department of Mathematics, University of Sargodha, Sargodha-40100
  • Poom Kumam Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140

DOI:

https://doi.org/10.26713/cma.v7i1.332

Keywords:

Best proximity point, $P$-property, triangular $\alpha$-admissible.

Abstract

In this paper, we obtain the best proximity point theorems for \(\alpha\)-Geraghty contractions in the setting of complete metric spaces. We present some examples to prove the validity of our results. Our results extend and unify many existing results in the literature.

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References

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Published

15-06-2016
CITATION

How to Cite

Komal, S., Sultana, N., Hussain, A., & Kumam, P. (2016). Optimal Approximate Solution for Generalized Contraction Mappings. Communications in Mathematics and Applications, 7(1), 23–36. https://doi.org/10.26713/cma.v7i1.332

Issue

Vol. 7 No. 1 (2016)

Section

Research Article

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