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Fixed Point Results under (ϕ, ψ)-Contractive Conditions and their Application in Optimization Problems | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 3، دوره 7، شماره 1، فروردین 2022، صفحه 31-51 اصل مقاله (437.95 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2022.61322.1182 | ||
| نویسنده | ||
| Razieh Farokhzad Rostami* | ||
| Department of Mathematics and statistics, Gonbad Kavous University of Gonbad Kavous, P.O. Box. 49717-99151, Golestan, Iran. | ||
| چکیده | ||
| Fixed point theorems can be used to prove the solvability of optimization problems, differential equations and equilibrium problems, and the intrinsic flexibility of probabilistic metric spaces makes it possible to extend the idea of contraction mapping in several inequivalent ways. In this paper, we extend very recent fixed point theorems in the setting of Menger probabilistic metric spaces. We present some fixed point theorems for self-mappings satisfying a generalized (ϕ , ψ ) - contractive condition in Menger probabilistic metric spaces which are contractions used extensively in global optimization problems. On the other hand, we consider a more general class of auxiliary functions in the contractivity condition and prove the existence of fixed points of non-expansive mappings on Menger probabilistic metric spaces. | ||
| کلیدواژه‌ها | ||
| Compatible mappings؛ Fixed point؛ Optimization؛ Menger probabilistic metric spaces؛ Reciprocal continuity؛ Weak reciprocal continuity | ||
| مراجع | ||
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