A generalized Suzuki Berinde contraction that characterizes Banach spaces

Mujahid Abbas; Rizwan Anjum; Vladimir Rako\v{c}evi\' c

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A generalized Suzuki Berinde contraction that characterizes Banach spaces

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arxiv 2209.12554 v1 pith:4LGAZC62 submitted 2022-09-26 math.FA

Mujahid Abbas , Rizwan Anjum , Vladimir Rakočevi\' c This is my paper · ORCID

classification math.FA

keywords berindecontractionsuzukicharacterizesfixedpointresultstype

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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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