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SOME FIXED POINT THEOREMS OF RATIONAL TYPE CONTRACTION ON B-MULTIPLICATIVE METRIC SPACES

1P. Joselin Lavino, Dr.A. Mary Priya Dharsini

Abstract: Our paper is ardent to prove fixed point theorems in the axioms of ????− multiplicative metric spaces for rational type contraction conditions. The presented theorem extends the research results of Merdaci Seddik1 and Hamaizia Taieb [6] and broadens a number of well-known findings in the setting of b-multiplicative metric spaces. Subsequently, we use our main results to find out the proximate solution of the Fredholm integral equation.

Keywords:

b-multiplicative metric spaces (????−????????????)

Fixed point

Common Fixed point (????ℱ????)

Cauchy sequence

Rational contractive condition.

Paper Details

D.O.I10.31838/ecb/2023.12.s2.279

Month5

Year2023

Volume12

Issuespecial issue-2

Pages2262-2267