The concept of C -algebra-valued rectangular b-metric spaces is introduced as a generalization of C -algebra-valued b-metric spaces. An analogue of Banach contraction principle and Kannan's …xed point theorem is proved in this space. As applications, existence and uniqueness results for a type of operator equation is given.
The main aim of this paper is to premise bipolar neutrosophic soft metric space (BNSMS) in terms of bipolar neutrosophic soft points. In addition, we define convergence of sequence, Cauchy sequence and completeness in BNSMS with appropriate examples. Further, we represent bipolar neutrosophic soft mappings using a Cartesian product with relations on bipolar neutrosophic soft sets and developed a fixed point theorem for self maps with contractive conditions using BNS mappings.
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