Nature

Fixed Point Theory in Banach Spaces and Algebras

Fixed point theory is a cornerstone in modern analysis, offering pivotal tools for proving the existence and uniqueness of solutions to equations arising in diverse scientific and engineering contexts ...
JSTOR Daily

Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces

Carpathian Journal of Mathematics, Vol. 40, No. 2 (2024), pp. 263-274 (12 pages) We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces ...
Nature

Fixed Point Theory and Nonexpansive Mappings in Banach Spaces

Fixed point theory is a central topic in functional analysis that examines conditions under which a mapping in a Banach space admits points that remain invariant under the transformation. Particularly ...
JSTOR Daily

A Caristi type fixed point theorem which characterizes metric completeness

In this paper, we improve Caristi-Jachymski-SteinJr and Banach-Caristi type fixed point theorems by relaxing the strong continuity assumption of the mapping with some weaker continuity notions. As an ...