Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application

Abstract

The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.

Fixed Point Results in Orthogonal Neutrosophic Metric Spaces

“…Afterward, the utility of FMS appeared in applied sciences such as fixed point theory, image and signal processing, medical imaging, and decision-making. is classical result was generalized in different spaces, and different structures were attained using this topic, and one may recall the existing notions, ordered theoretic results in fuzzy b metric spaces [4], fuzzy b-metric-like spaces [5], orthogonal control fuzzy metric spaces [6], fuzzy generalized prioritized weighted average operator [7], fuzzy C-means clustering with locality preservation [8], the measure of divergence with fuzzy [9], and many more.…”

Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations

“…), mathematics, computer software, earth science, and physics. Some of their findings can be found in [18][19][20][21][22][23][24][25].…”

The Existence of Fixed Points for a Different Type of Contractions on Partial b-Metric Spaces

“…is classical result was generalized in different spaces, and different structures were attained using this topic and one may recall the existing notions, partial b-metric spaces [3], R-partial b-metric spaces [4], fuzzy cone b-metric spaces [5], G b -metric spaces [6], orthogonal partial b-metric spaces [7], orthogonal m-metric spaces [8], and several others. More details can be found in [9][10][11][12][13].…”