UNIQUENESS OF CERTAIN FIXED POINT THEOREMS ON MULTIPLICATIVE METRIC SPACE WITH APPLICATION

UNIQUENESS OF CERTAIN FIXED POINT THEOREMS ON MULTIPLICATIVE METRIC SPACE WITH APPLICATION

R.D. Mohanraj, C.Rajesh

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Abstract

In this paper, we establish few fixed point results in multiplicative metric space and prove the existence of fixed points along with its uniqueness, by employing contraction mappings in complete multiplicative metric space. We have provided few examples to validate our obtained results. Furthermore, we prove some theorems involving solutions of nonlinear integral equation as an application of our fixed point theorems.

Keywords

Contraction mapping, Complete multiplicative metric space, Fixed point, Weakly commuting mappings.