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Some new fixed point theorems for contractive and nonexpansive mappings

Some new fixed point theorems for contractive and nonexpansive mappings

In the present paper, we obtain some new fixed point theorems for set-valued contractive and nonexpansive mappings in the setting of ultrametric spaces. Our theorems complement, generalize and extend some well known results of Petalas and Vidalis [A fixed point theorem in non-Archimedean vector spaces, Proc. Amer. Math. Soc 118(1993), …