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A generalized Suzuki Berinde contraction that characterizes Banach spaces

2022/09/26 by Abbas, Mujahid, Anjum, Rizwan, c, Vladimir Rakočevi\'
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2209.12554

Abstract

We introduce a large class of contractive mappings, called Suzuki Berinde type contraction. We show that any Suzuki Berinde type contraction has a fixed point and characterizes the completeness of the underlying normed space. A fixed point theorem for multivalued mapping is also obtained. These results unify, generalize and complement various known comparable results in the literature.

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