Coupled Fixed Point Theory in Subordinate Semimetric Spaces

Abstract

The aim of this paper is to study the coupled fixed point of a class of mixed monotone operators in the setting of a subordinate semimetric space. Using the symmetry between the subordinate semimetric space and a JS-space, we generalize the results of Senapati and Dey on JS-spaces. In this paper, we obtain some coupled fixed point results and support them with some examples.

Keywords

• subordinate semimetric space
• coupled fixed point
• Ψ₊ space
• mixed monotone operator