Fixed point structures on a set-mapping pair and cartesian product

Abstract

In this paper we study the following problem (Problem 4.2 in, I.A. Rus, Sets with structure, mappings and fixed point property: fixed point structures, Fixed Point Theory 23, No. 2 (2022), 689-706):

Keywords

• category of sets with structure
• set-mapping pair
• fixed point structure
• cartesian product
• fixed point selection property
• exponential with fixed point property
• cartesian product with fixed point property
• ordered set with fixed point property
• metric space with fixed point property
• topological space with fixed point property