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Some local fixed point theorems and applications to open mapping principles and continuation results

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The purpose of this article is to present, under weaker assumptions, some local fixed point theorems for Ćirić–Reich–Rus, Chatterjea and Berinde type generalized contractions. Then, as applications we will obtain… Click to show full abstract

The purpose of this article is to present, under weaker assumptions, some local fixed point theorems for Ćirić–Reich–Rus, Chatterjea and Berinde type generalized contractions. Then, as applications we will obtain open mapping theorems and continuation principles for these classes of mappings.

Keywords: continuation; open mapping; point theorems; local fixed; fixed point

Journal Title: Arabian Journal of Mathematics
Year Published: 2021

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