Geodesic
Fixed point results on a metric space endowed with a finite number of graphs and applications
Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 241-250
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In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.
In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.
DOI : 10.1007/s10587-014-0097-6
Classification : 05C40, 06A06, 47H10
Keywords: fixed point; graph; metric space; order; cyclic map 
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Argoubi, Hajer; Samet, Bessem; Turinici, Mihai. Fixed point results on a metric space endowed with a finite number of graphs and applications. Czechoslovak Mathematical Journal, Tome 64 (2014) no. 1, pp. 241-250. doi: 10.1007/s10587-014-0097-6

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