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Fixed point theory for a new type of contractive multivalued operators
Authors:Ghiocel Moţ  Adrian Petruşel
Affiliation:1. Aurel Vlaicu University Arad, Faculty of Science, Micalaca Complex, Elena Dragoi St. 2, 310330 Arad, Romania;2. Babe?-Bolyai University Cluj-Napoca, Department of Applied Mathematics, Kog?lniceanu St. 1, 400084, Cluj-Napoca, Romania
Abstract:
The aim of this paper is to discuss some basic problems (data dependence, well-posedness, nonself operators, homotopy results, generalized contractions) of the fixed point theory for a new type contractive multivalued operator. The results complement and extend some very recent results proved by M. Kikkawa and T. Suzuki, as well as, other theorems given by M. Frigon and A. Granas, S. Reich, I.A. Rus, etc.
Keywords:47H10   54H25
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