Fixed Point Theorems for Multiplicative Cyclic \((\alpha,\beta)\)-Convex Contraction of Type-2 in Dislocated Quasi \(b\)-Multiplicative Metric Space and Its Applications

A. Mary Priya Dharsini; P. Joselin Lavino

doi:10.26713/cma.v15i4.3295

Authors

A. Mary Priya Dharsini PG and Research Department of Mathematics, Holy Cross College (Autonomous) (Affiliated to Bharathidasan University), Tiruchirappalli 620002, Tamil Nadu, India https://orcid.org/0009-0008-4107-9188 (unauthenticated)
P. Joselin Lavino PG and Research Department of Mathematics, Holy Cross College (Autonomous) (Affiliated to Bharathidasan University), Tiruchirappalli 620002, Tamil Nadu, India https://orcid.org/0009-0005-3857-8646 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v15i4.3295

Keywords:

Dislocated quasi b-multiplicative metric space (dqb-mms), Cauchy sequence, Multiplicative cyclic (α,β)-convex contraction of Type-2, Unique fixed point (UFP), Multiplicative metric space (mms)

Abstract

The dislocated quasi \(b\)-multiplicative metric space is introduced as an extension of dislocated quasi \(b\)-metric space, which is demonstrated some well-known fixed point theorems and shows fixed point results for a contraction of rational type. Specifically, we generalize the convex contraction to encompass the dislocated quasi \(b\)-multiplicative setting. The results of this study not only contribute to the theoretical foundations of fixed point theory but also offers a new perspective on the applicability of dislocated quasi \(b\)-multiplicative metric spaces.

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