Open AccessContraction Mappings in Intuitionistic Fuzzy Rectangular Extended B-Metric Spaces
Author(s) -
Doha A. Kattan,
Amjad Owaidh Alzanbaqi,
Sahidul Islam
Publication year - 2022
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2022/1814291
Subject(s) - mathematics , metric space , contraction (grammar) , pure mathematics , t norm , convex metric space , metric map , generalization , metric (unit) , discrete mathematics , fuzzy logic , mathematical analysis , algebra over a field , fuzzy set , fuzzy number , computer science , artificial intelligence , medicine , operations management , economics
In this study, we present the notion of intuitionistic fuzzy rectangular extended b-metric spaces as a generalization of intuitionistic fuzzy metric spaces and intuitionistic fuzzy rectangular b-metric spaces. Some well-known fixed-point results in metric fixed-point theory are generalized in the sense of intuitionistic fuzzy rectangular extended b-metric spaces. Several nontrivial examples and an application to nonlinear fractional differential equations are also imparted in this work to examine the validity of given results.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom