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Title

FIXED POINT THEOREMS FOR G-NONEXPANSIVE MAPPINGS IN ULTRAMETRIC SPACES AND NON-ARCHIMEDEAN NORMED SPACES ENDOWED WITH A GRAPH

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Abstract

 THE PURPOSE OF THIS ARTICLE IS TO PRESENT SOME NEW FIXED POINT RESULTS FORGNONEXPANSIVE MAPPINGS DEFINED ON AN ULTRAMETRIC SPACE AND NON-ARCHIMEDEAN NORMED SPACE WHICH ARE ENDOWED WITH A GRAPH. IN PARTICULAR, WE INVESTIGATE THE RELATIONSHIP BETWEEN WEAK CONNECTIVITY AND THE EXISTENCE OF FIXED POINTS FOR THESE MAPPINGS.

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