A generalization of Amini-Harandi's fixed point theorem with an application to nonlinear mapping theory

Abstract

We introduce a new fixed point theorem on complete metric spaces, which generalizes some former results, and we apply this to obtain a surjectivity theorem for Gâteaux differentiable mappings between Banach spaces.

F-Bipolar metric spaces and fixed point theorems with applications

“…Such problems of measuring distance can be encountered in various fields of mathematics and other sciences. In 2016, to encounter such cases, the concept of bipolar metric space was introduced by Mutlu and G ürdal [11] and after that some fixed point and coupled fixed point theorems were tested under contractive conditions for covariant and contravariant mappings (see, for instance, [11][12][13][14][15][16][17]). Recently, Kishore et al [9] proved some common fixed point theorems in bipolar metric spaces along with some applications.…”

Characterization of bipolar ultrametric spaces and fixed point theorems

“…Having a considerably rich structure providing a basis to form a theory of analysis on arbitrary sets, and yet being able to represent a wide range of well-behaved topological spaces, since their introduction by Fréchet, metric spaces have not only brought about one of the major areas of study in mathematics, but also been subject to many generalizations, enrichments and modifications in a wide variety of forms [1,2,7,11,18,21].…”