Certain new aspects in fuzzy fixed point theory

Abstract

We will establish several fixed point results in new introduced spaces in this manuscript known as fuzzy rectangular metric-like spaces and rectangular b-metric-like spaces. These new results and spaces will improve the approach of existing ones in the literature. Few non-trivial examples and an application also verify the uniqueness of solution.

Keywords

• fuzzy rectangular metric space
• fuzzy rectangular b-metric-like space
• contraction mappings
• fixed point theorems
• fredholm integral equations