Coincidence Point Theorems for Geraghty's Type Contraction in Generalized Metric Spaces Endowed with a Directed Graph

Narawadee Phudolsitthiphat, Anchalee Khemphet

Abstract


In this work, we present some existence results for coincidence point theorems for Geraghty's type contraction mappings in a space with two generalized metrics endowed with a directed graph. Further, some examples are provided to supported our main theorems. Finally, these results can be applied to the integral equation.

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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|