Contractive mapping theorems in Partially ordered metric spaces

  • N. Seshagiri Rao Department of Applied Mathematics, School of Applied Natural Sciences Adama Science and Technology University Post Box No.1888, Adama, Ethiopia.
  • K. Kalyani Department of Mathematics Vignan’s Foundation for Science, Technology & Research Vadlamudi-522213, Andhra Pradesh, India.
  • Kejal Khatri Department of Mathematics Government College Simalwara Dungarpur 314403, Rajasthan, India.
Keywords: Partially ordered metric spaces, Rational contractions, Compatible mappings, Weakly compatible mappings

Abstract

The purpose of this paper is to establish some coincidence, common fixed point theorems for monotone \(f\)-non decreasing self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order. Also, the results involving an integral type of such classes of mappings are discussed in application point of view. These results generalize and extend well known existing results in the literature.

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Published
2020-08-22
How to Cite
Seshagiri Rao, N., Kalyani, K., & Khatri, K. (2020). Contractive mapping theorems in Partially ordered metric spaces. CUBO, A Mathematical Journal, 22(2), 203–214. https://doi.org/10.4067/S0719-06462020000200203