Recent developments in the fixed point theory of enriched contractive mappings. A survey

2024/04/07 by Berinde, Vasile, Păcurar, Mădălina
#47H05 #47H06 #47H07 #47H09 #47H10 #47J26 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2404.04928

Abstract

The aim of this note is threefold: first, to present a few relevant facts about the way in which the technique of enriching contractive mappings was introduced; secondly, to expose the main contributions in the area of enriched mappings established by the authors and their collaborators by using this technique; and third, to survey some related developments in the very recent literature which were authored by other researchers.

Related

• Fixed points theorems for unsaturated and saturated classes of contractive mappings in Banach spaces
• Existence and data dependence results for the fixed points of multivalued mappings
• Mappings contracting triangles
• Approximating fixed points of enriched contractions in Banach spaces
• Approximating the common fixed point of enriched interpolative matkowski type mapping in Banach space