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Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Author

Listed:
  • Mathuraiveeran Jeyaraman

    (PG and Research Department of Mathematics, Raja Doraisingam Government Arts College, Alagappa University, Karaikudi, Tamil Nadu 630004, India
    These authors contributed equally to this work.)

  • Mookiah Suganthi

    (PG and Research Department of Mathematics, Raja Doraisingam Government Arts College, Alagappa University, Karaikudi, Tamil Nadu 630004, India
    Department of Mathematics, Government Arts College, Melur 625106, India
    These authors contributed equally to this work.)

  • Wasfi Shatanawi

    (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics, Hashemite University, Zarqa 13133, Jordan
    These authors contributed equally to this work.)

Abstract

In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.

Suggested Citation

  • Mathuraiveeran Jeyaraman & Mookiah Suganthi & Wasfi Shatanawi, 2020. "Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces," Mathematics, MDPI, vol. 8(8), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1212-:d:388407
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    References listed on IDEAS

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    1. Alaca, Cihangir & Turkoglu, Duran & Yildiz, Cemil, 2006. "Fixed points in intuitionistic fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1073-1078.
    2. S. N. Mishra & Nilima Sharma & S. L. Singh, 1994. "Common fixed points of maps on fuzzy metric spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-6, January.
    3. Saif Ur Rehman & Yongjin Li & Shamoona Jabeen & Tayyab Mahmood, 2019. "Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2019, pages 1-10, April.
    4. Wutiphol Sintunavarat & Poom Kumam, 2011. "Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-14, August.
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