A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results. (25th September 2020)

• Record Type: Journal Article
• Authors: Asif, Awais; Aydi, Hassen; Arshad, Muhammad; Ali, Zeeshan
• Other Names: Araci Serkan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-09-25
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/6305856
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : A picture fuzzy n -normed linear space (N PF ), a mixture of a picture fuzzy set and an n -normed linear space, is a proficient concept to cope with uncertain and unpredictable real-life problems. The purpose of this manuscript is to present some novel contractive conditions based on N PF . By using these contractive conditions, we explore some fixed point theorems in a picture fuzzy n -Banach space (B PF ). The discussed modified results are more general than those in the existing literature which are based on an intuitionistic fuzzy n -Banach space (B IF ) and a fuzzy n -Banach space. To express the reliability and effectiveness of the main results, we present several examples to support our main theorems.