10.30495/maca.2022.1961664.1060

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

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  • Jeyaraman Mathuraiveeran1,
  • Suganthi Mookiah2,
  • A. Ramachandran3,
  1. PG and Research Department of Mathematics, Raja Doraisingam Government 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; Department of Mathematics, Government Arts College, Melur, India
  3. Research Scholar, Suvarna Karnataka Institute of Studies and Research Center, Tumkur-572102, Karnataka, India

Published in Issue 2022-09-23

How to Cite

Fixed point theorems for cyclic contractions on intuitionistic generalized fuzzy metric spaces. (2022). Mathematical Analysis and Its Contemporary Applications, 4(4). https://doi.org/10.30495/maca.2022.1961664.1060

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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
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