Common best proximity point theorems for proximally weak reciprocal continuous mappings
Copyright policy )Common best proximity point theorems for proximally weak reciprocal continuous mappings
<abstract><p>The main objective of this paper is to find sufficient conditions for the existence and uniqueness of common best proximity points for discontinuous non-self mappings in the setting of a complete metric space. We introduce and analyze new concepts such as proximally reciprocal continuous, proximally weak reciprocal continuous, R-proximally weak commuting of types $ M_{\Lambda} $ and $ M_{\Gamma} $ for non-self mappings. Furthermore, we obtain a common best proximity point theorem for such mappings. In addition, we provide an example to support our main result.</p></abstract>
weak reciprocal continuity, r-weakly commuting of type $ m_{\lambda} $ and $ m_{\gamma} $, QA1-939, compatible mappings, Mathematics
weak reciprocal continuity, r-weakly commuting of type $ m_{\lambda} $ and $ m_{\gamma} $, QA1-939, compatible mappings, Mathematics
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