Mathematical Analysis and its Contemporary Applications

Common fixed point results for minimal Ξ-commuting mappings in modular metric spaces

10.30495/maca.2024.2032989.1104
Volume 6, Issue 2
Spring 2024
Pages 71-91
Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Authors

Ljiljana R Paunovic 1
Parveen Kumar 2
Manoj Kumar 3
Savita Malik 3
Zorica Gajtanovic 1

1 Teacher Education Faculty, University of Pristina-Kosovska Mitrovica, Nemanjina bb, 38218 Leposavic, Serbia

2 Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonipat 131039, Haryana, India

3 Department of Mathematics, Faculty of Science, Baba Mastnath University, Asthal Bohar Rohtak-124021, Haryana, India

Abstract
In this paper, we define the notions of Ξ-conditionally commuting, Ξ-conditionally compatible, Ξ-faintly compatible mappings and Ξ-reciprocal continuous mappings in the setting of modular metric spaces and then prove common fixed point theorems for these mappings. In fact, our results are the generalization of the results of [2], [13] and [18].

Keywords

Modular metric spaces
Ξ-non-compatible
Ξ-reciprocally continuous
Ξ-conditionally commuting
Ξ-conditionally compatible
Ξ-faintly compatible mappings
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  • Receive Date 19 June 2024
  • Revise Date 19 July 2024
  • Accept Date 19 July 2024

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