Fixed point theorems in Menger spaces with an application to metric spaces

  • Surjeet Singh Tomar Department of Mathematics, Jai Narayan College of Technology, Bhopal (M.P.), India
  • Deepak Singh Department of Applied Science National Institute of Technical Teachers' Training and Research (NITTTR), (Under Ministry of Human Resource Development, Govt. of India) Shamla Hills, Shanti Marg, Bhopal - 462 002 M.P. INDIA
  • M. S. Rathore Department of Mathematics, Chandrashekhar Azad Govt. P.G. College, Sehore, M.P., India.

Abstract

Recently Fang [19] dened and used the algebraic sum in Menger spaces and proved the common fixed point theorems. Clubbing this concept of algebraic sum, some common fixed point theorems satisfying contractive conditions using occasionally weakly compatible maps for rational terms in Menger spaces are obtained. This idea give rise to new xed point theorems in the setting of similar abstract spaces. Our result partially generalize many results in existing literature.

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Published
2013-12-17
How to Cite
Tomar, S. S., Singh, D., & Rathore, M. S. (2013). Fixed point theorems in Menger spaces with an application to metric spaces. Journal of Advanced Studies in Topology, 5(1), 39-46. https://doi.org/10.20454/jast.2014.712
Section
Original Articles