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.

 


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|