Existence Theorems for Cyclic-Pre\v{s}i\'{c} Operator in Product Spaces endowed with Directed Graphs

Pornpimon Boriwan, Narin Petrot

Abstract

In this paper, we introduce a class of generalized cyclic contration mapping in product spaces endowed with directed graphs, called G-cyclic-Pre\v{s}i\'{c} operators. Some prove fixed point theorems for such introduced mappings are provided. Also,  the  examples are given to validate the results proved herein.