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Research Paper | Mathematics | India | Volume 11 Issue 6, June 2022

Implementation of Coupled Fixed Point Theorems with ?-Monotone Property in Soft b-Metric Space

Dr. Kanchan Mishra

Abstract: In this paper we define ? -Monotone property, Soft Metric Space, b-Soft Metric Space and then we demon start some results. In the first result we prove coupled soft fixed point theorem in ordered soft b- metric space with ? - monotone property. In the second theorem demonstrate coupled soft co-incidence fixed point theorem for mapping satisfying generalized contractive conditions with ? - monotone property in an ordered soft b-metric space.

Keywords: Soft point, soft metric space, soft contractive mapping, fixed point theorem, ?-monotone property

Edition: Volume 11 Issue 6, June 2022,

Pages: 301 - 305