New generalization of metric-type spaces-strong controlled
Document Type
Article
Publication Date
2-1-2023
Abstract
In this manuscript, we establish a new type of metric space that is called controlled strong metric spaces by introducing a controlled function to the triangle inequality as follows: P(s, r) <= P(s, z) + eta (z, r)P(z, r), and keeping the symmetry condition that is P(s, r) = P(r, s) for all r, s. We demonstrate the existence of the fixed point of self-mapping and its uniqueness in such spaces that satisfy linear and nonlinear contractions. Moreover, we provide three applications of results to polynomial equations of high degree, systems of linear equations, along with fractional differential equations.
Keywords
Strong b-metric space (SbMS), A double-controlled metric type, Fixed-point and strong controlled metric-type space (SCMTS)
Divisions
Science,MathematicalSciences
Publication Title
Symmetry-Basel
Volume
15
Issue
2
Publisher
MDPI
Publisher Location
ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND