Fixed point theorems for cyclic contractions on intuitionistic generalized fuzzy metric spaces

Mathuraiveeran, Jeyaraman; Mookiah, Suganthi; Ramachandran, A.

doi:10.30495/maca.2022.1961664.1060

Fixed point theorems for cyclic contractions on intuitionistic generalized fuzzy metric spaces

https://doi.org/10.30495/maca.2022.1961664.1060

Volume 4, Issue 4
Autumn 2022

Pages 57-68

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Jeyaraman Mathuraiveeran ¹

Suganthi Mookiah ²^{, 3}

A. Ramachandran ⁴

¹ PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India

² Research Scholar, PG and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai 630561, Affiliated to Alagappa University, Karaikudi, India

³ Department of Mathematics, Government Arts College, Melur, India

⁴ Research Scholar, Suvarna Karnataka Institute of Studies and Research Center, Tumkur 572102, Karnataka, India

Abstract

In this work, we have brought in the notion of cyclic contraction into the intuitionistic generalized fuzzy metric spaces. We have set up some common fixed point theorems for these contractions and continuous mappings by considering their weakly commuting nature.

Keywords

Common fixed point

Weakly commuting

Cyclic contraction