Open AccessFixed Point Results on Multiplicative Semi-Metric Space
Author(s) -
Bonuga Vijayabaskerreddy,
V. Srinivas
Publication year - 2020
Publication title -
journal of scientific research
Language(s) - English
Resource type - Journals
eISSN - 2070-0245
pISSN - 2070-0237
DOI - 10.3329/jsr.v12i3.44754
Subject(s) - multiplicative function , mathematics , metric space , fixed point , coincidence point , metric (unit) , pure mathematics , type (biology) , fixed point theorem , space (punctuation) , discrete mathematics , mathematical analysis , computer science , ecology , operations management , economics , biology , operating system
In this paper we introduce the notion of the Multiplicative Semi-Metric Space and proved common fixed point theorems. We establish fixed point theorems for four self-maps which can be extended to derive common fixed point theorems involving any finite number of mappings in Multiplicative Semi Metric Space. Further examples are discussed to show that compatible mappings of type-E, weakly compatible mappings and reciprocally-continuous mappings are weaker forms of compatible mappings and continuous mappings respectively. The main objective of this article is to prove the unique common fixed point theorems and employing the notion of the compatible mappings of type-E, reciprocally-continuous mappings in the Multiplicative Semi Metric Space. Our result generalizes the concept of Multiplicative Metric Space as it does not involve the multiplicative triangle inequality.