FIXED POINTS OF EXPANSION MAPS IN INTUITIONISTIC FUZZY METRIC SPACES

  • SUNEEL KUMAR
    Department of Mathematics, R.H. Government Postgraduate College, Kashipur (U.S. Nagar), Uttarakhand, INDIA 244713 | Present address: Government Higher Secondary School, Sanyasiowala P.O.- Jaspur (U.S. Nagar), Uttarakhand, INDIA
    ksuneel_math@xn--redimail-7la.com
  • SERVET KUTUKCU
    Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University 55139 Kurupelit, Samsun, Turkey
    skutukcu@yahoo.com

Abstract

The purpose of this paper is to prove some fixed point and common fixed point theorems for expansion maps in intuitionistic fuzzy metric spaces. The main result has been proved for two pairs of non-surjective expansion maps on noncomplete intuitionistic fuzzy metric space through weak compatibility. Our results extend, generalize and intuitionistic fuzzify several fixed point theorems on metric spaces, Menger PM-spaces and fuzzy metric spaces.

Cuvinte cheie

intuitionistic fuzzy metric space Expansion maps weakly compatible maps surjective maps non-surjective maps fixed point.