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Fixed point theorems for nonself operators on a large Kasahara space | |
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Fixed Point Theory, Volume 24, No. 2, 2023, 583-594, June 15th, 2023 DOI: 10.24193/fpt-ro.2023.2.08 Authors: Alexandru-Darius Filip Abstract: In this paper we give some fixed point theorems for nonself operators on a large Kasahara space, which generalize some results given by I.A. Rus and M.-A. Șerban (I.A. Rus, M.-A. Șerban, Some fixed point theorems for nonself generalized contractions, Miskolc Math. Notes, 17(2016), no.2, 1021-1031) and by S. Reich and A.J. Zaslavski (S. Reich, A.J. Zaslavski, A note on Rakotch contractions, Fixed Point Theory, 9(2008), no.1, 267-273). Key Words and Phrases: Large Kasahara space, nonself operator, fixed point, comparison function, diameter functional, maximal displacement functional. 2010 Mathematics Subject Classification: 47H09, 47H10, 54H25. Published on-line: June 15th, 2023. |