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Fixed point results on a metric space endowed with a finite number of graphs and applications |
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| Authors: | Hajer Argoubi Bessem Samet Mihai Turinici |
| Institution: | 1. FST Campus Universitaire, 2092-El, Manar Tunis, Tunis, Tunisia 2. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia 3. A. Myller Mathematical Seminar, A. I. Cuza University, 700506, Ia?i, Romania |
| Abstract: | 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. |
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