Bailey, Nemytskii and Suzuki Contraction Functions on Fuzzy Metric Spaces

سال انتشار: 1404
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 35

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شناسه ملی سند علمی:

JR_SCMA-22-3_012

تاریخ نمایه سازی: 19 تیر 1404

چکیده مقاله:

This paper introduces a family of F-fuzzy, Bailey--Nemytskii functions of level p in fuzzy set theory. Then, it defines Bailey and Nemytskii contraction functions on fuzzy metric spaces. Finally, it uses the aforementioned family to show that each of the contraction functions has a fixed point. The paper also generalizes Suzuki contraction functions to fuzzy metric spaces and studies the existence of fixed points for such functions.

نویسندگان

Morteza Saheli

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

Seyed Ali Mohammad Mohsenialhosseini

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

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  • K.H. Alam, Y. Rohen and A. Tomar, (a,F)-Geraghty-type generalized F-contractions ...
  • D. Bailey, Some theorems on contractive mappings, J. Lond. Math. ...
  • Y. Dzhabarova, S. Kabaivanov, M. Ruseva and B. Zlatanov, Existence, ...
  • M. Edelstein, On fixed and periodic points under contractive mappings, ...
  • M.A. Erceg, Metric spaces in fuzzy set theory, J. Math. ...
  • J. Franklin, Methods of mathematical economics, Springer Verlag, New York, ...
  • A. George and P. Veeramani, On some results in fuzzy ...
  • A. George and P. Veeramani, Some theorems in fuzzy metric ...
  • M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets ...
  • V. Gregori, J.-J. Miñana and D. Miravet, Extended fuzzy metrics ...
  • V. Gregori, J. Miñana and S. Morillas, On completable fuzzy ...
  • V. Gregori and S. Romaguera, Some properties of fuzzy metric ...
  • O. Hadˇzi´c, Fixed point theory in probabilistic metric spaces, Serbian ...
  • O. Hadˇzi´c and E. Pap, Fixed point theorem for multivalued ...
  • O. Hadˇzi´c and E. Pap, Fixed point theory in PM-spaces, ...
  • G.E. Hardy and T. Rogers, A generalization of a fixed ...
  • A. Hussain, U. Ishtiaq, K. Ahmed and H. Al-Sulami, On ...
  • U. Ishtiaq, S. Alshaikey, M.B. Riaz and K. Ahmad, Fixed ...
  • O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy ...
  • E. Karapnar, Edelstein type fixed point theorems, Ann. Funct. Anal., ...
  • I. Kedim and M. Berzig, A fixed point theorem in ...
  • K. Kramosil and J. Michalek, Fuzzy metric and statistical metric ...
  • V.V. Nemytskii, Fixed point method in analysis, Uspekhi Matematicheskikh Nauk. ...
  • J.J. Nieto and R. Rodriguez-Lopez, Contractive mappings theorems in partially ...
  • A. Muraliraj, R. Thangathamizh, N. Popovic, A. Savic and S. ...
  • E. Pap, O. Hadzic and R. Mesiar, A fixed point ...
  • E. Parau and V. Radu, Some remarks on Tardiff’s fixed ...
  • H.K. Pathak and N. Hussain, Common fixed points for Banach ...
  • O. Popescu, Some generalizations of Suzuki and Edelstein type theorems, ...
  • V. Rafu, Some fixed point theorems in probabilistic metric spaces, ...
  • B. Schweizer, H. Sherwood and R.M. Tardiff, Contractions on probabilistic ...
  • V.M. Sehgal and A.T. Bharucha-Reid, Fixed points of contraction mappings ...
  • M. Shaheryar, F.U. Din, A. Hussain and H. Alsulami, Fixed ...
  • S. Sharma, Common fixed point theorems in fuzzy metric spaces, ...
  • S. Shukla, N. Dubey and J.-J. Minana, Vector-Valued fuzzy metric ...
  • G. Song, Comments on “A common fixed point theorem in ...
  • T. Suzuki, A new type of fixed point theorem in ...
  • R.M. Tardiff, Contraction maps on probabilistic metric spaces, J. Math. ...
  • R. Vasuki, A common fixed point theorem in fuzzy metric ...
  • Z. Deng, Fuzzy pseudo metric spaces, J. Math. Anal. Appl., ...
  • نمایش کامل مراجع