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A Note on tvs-G‐Cone Metric Fixed Point Theory

Author

Listed:
  • Ing-Jer Lin
  • Chi-Ming Chen
  • Chao-Hung Chen
  • Tien-Ying Cheng

Abstract

For a tvs-G‐cone metric space (X, G) and for the family 𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ‐cone metric ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G‐cone‐type function in a complete tvs-G‐cone metric space (𝒜, ℋ). Our results generalize some recent results in the literature.

Suggested Citation

  • Ing-Jer Lin & Chi-Ming Chen & Chao-Hung Chen & Tien-Ying Cheng, 2012. "A Note on tvs-G‐Cone Metric Fixed Point Theory," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:407071
    DOI: 10.1155/2012/407071
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    References listed on IDEAS

    as
    1. Ismat Beg & Akbar Azam & Muhammad Arshad, 2009. "Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-8, January.
    2. Azam, Akbar & Arshad, Muhammad & Beg, Ismat, 2009. "Fixed points of fuzzy contractive and fuzzy locally contractive maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2836-2841.
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