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Some Fixed Point Theorems in G-fuzzy Normed Linear Spaces

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Recent Advances in Intelligent Information Systems and Applied Mathematics (ICITAM 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 863))

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Abstract

The purpose of this paper is to introduce some fixed point and coincidence point theorems for generalized contraction mappings in G-fuzzy normed linear spaces under H-type t-norm.

Supported by organization CSIR, New Delhi, India with sanction order No. 09/202(0065)/2017-EMR-I and UGC-SAP (DRS, Phase-III) with sanction order No. F.510/3/DRS-III/2015 (SAPI).

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References

  1. Bharucha-Raid, A., Sehgal, V.: Fixed point of contraction mappings on PM-spaces. Math. Syst. Theory 6, 97–100 (1972)

    Article  Google Scholar 

  2. Chatterjee, S., Bag, T., Samanta, S.K.: Some results on G-fuzzy normed linear space. Int. J. Pure Appl. Math. 120(5), 1295–1320 (2018)

    Google Scholar 

  3. Choudhury, B.S., Das, K., Das, P.: Extensions of Banach’s and Kannan’s results in fuzzy metric spaces. Commun. Korean Math. Soc. 27(2), 265–277 (2012)

    Article  MathSciNet  Google Scholar 

  4. Ćirić, L.: Some new results for Banach contractions and Edelstein contractive mappings on fuzzy metric spaces. Chaos Solitons Fractals 42(1), 146–154 (2009)

    Article  MathSciNet  Google Scholar 

  5. Deimling, K.: Nonlinear Functional Analysis. Springer, Heidelberg (1985)

    Book  Google Scholar 

  6. George, A., Veeramani, P.: On some results in fuzzy metric spaces. Fuzzy Sets Syst. 64(3), 395–399 (1994)

    Article  MathSciNet  Google Scholar 

  7. Hadžić, O., Pap, E.: Fixed Point Theory in Probabilistic Metric Spaces. Kluwer Academic Publishers, Dordrecht (2001)

    Book  Google Scholar 

  8. Jungck, G., Rhoades, B.: Fixed points for set valued functions without continuity. Indian J. Pure Appl. Math. 29, 227–238 (1998)

    MathSciNet  MATH  Google Scholar 

  9. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Delhi (1997)

    MATH  Google Scholar 

  10. Grabiec, M.: Fixed points in fuzzy metric spaces. Fuzzy Sets Syst. 27(3), 385–389 (1988)

    Article  MathSciNet  Google Scholar 

  11. Mustafa, Z., Obiedat, H.: A fixed point theorem of Reich in G-metric spaces. Cubo 12(1), 83–93 (2010)

    Article  MathSciNet  Google Scholar 

  12. Radu, V.: Some fixed point theorems probabilistic metric spaces. Lect. Notes Math. 1233, 125–133 (1985)

    Article  MathSciNet  Google Scholar 

  13. Sun, G., Yang, K.: Generalized fuzzy metric spaces with properties. Res. J. Appl. Sci. Eng. Technol. 2(7), 673–678 (2010)

    Google Scholar 

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Chatterjee, S., Bag, T., Samanta, S.K. (2020). Some Fixed Point Theorems in G-fuzzy Normed Linear Spaces. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_7

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