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Fixed points for non-self operators and domain invariance theorems |
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| Authors: | Tania A. Lazăr Adrian Petruşel Naseer Shahzad |
| Affiliation: | 1. Commercial Academy Satu Mare, 6 Mihai Eminescu St., Satu-Mare, Romania;2. Department of Applied Mathematics, Babe?-Bolyai University Cluj-Napoca, 1 Kog?lniceanu St., 400084, Cluj-Napoca, Romania;3. Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia |
| Abstract: | The purpose of this paper is to discuss some basic problems of the fixed point theory for non-self (single-valued and multivalued) generalized contractions. As consequences, new open operator principles and domain invariance theorems are obtained. The results complement and extend some known results in the literature. |
| Keywords: | 47H10 54H25 |
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