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Fixed Point Theorems for Monotone Caristi Inward Mappings |
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| Authors: | Monther Rashed Alfuraidan Eduardo Daniel Jorquera |
| Affiliation: | 1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia;2. Department of Mathematics and Computational Science, University of Santiago of Chile, Santiago, Chile |
| Abstract: | In this paper, we introduce the monotone Caristi inward mappings. As an example, we show that monotone inward contraction mappings are monotone Caristi inward mappings. A general fixed point theorem for such mappings is given. A mutlivalued version of these results is also introduced. |
| Keywords: | Caristi contraction mapping fixed point inward mapping monotone mapping multivalued mapping partially ordered metric space |