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FIXED POINTS OF EXPANSION MAPS IN INTUITIONISTIC FUZZY METRIC SPACES


SUNEEL KUMAR 1, SERVET KUTUKCU 2
1. 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 244712, e-mail: ksuneel math@rediÂźmail.com, suneelkchauhan@yahoo.in
2. Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University 55139 Kurupelit, Samsun, Turkey, e-mail: skutukcu@yahoo.com

Issue:

SSRSMI, Number 1, Volume XX

Section:

Volume 20, Number 1

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.

Keywords:

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

Code [ID]:

SSRSMI201001V20S01A0010 [0003175]

Full paper:

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