Some common fixed point theorems in intuitionistic fuzzy metric spaces

N/ACitations
Citations of this article
10Readers
Mendeley users who have this article in their library.

Abstract

This paper is three fold. Firstly, we shall discuss the notions of different variants of R-weakly commuting mappings (R-weakly commuting mappings of type (Ag), R-weakly commuting mapping of type (Af) and R-weakly commuting mapping of type (P)) and E.A. property in intuitionistic fuzzy metric spaces and then provide various examples to reflect upon the distinctiveness among different variants of R-weakly commuting mappings, see for detail in [14]. Secondly, we prove common fixed point theorem using control function and E.A. property along with weakly compatible maps. At the end, we prove a common fixed point theorem for weakly compatible maps in intuitionistic fuzzy metric spaces which generalizes the result of Alaca, Turkoglu and Yildiz [3].Our results extend, generalize and fuzzify several fixed point theorems on metric spaces, Menger spaces, uniform spaces and fuzzy metric spaces.

Cite

CITATION STYLE

APA

Kumar, S., Vats, R. K., Singh, V., & Garg, S. K. (2010). Some common fixed point theorems in intuitionistic fuzzy metric spaces. International Journal of Mathematical Analysis, 4(25–28), 1255–1270. https://doi.org/10.5556/j.tkjm.42.2011.683

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free