In this chapter, a new generalization of metric space is presented, which generalizes the notions of b-metric, and its generalizations. Some interesting topological properties are discussed. Some new fixed point results for single and muti-valued mappings are proved. Examples are established to ensure the validity of our results.

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A New Generalization of Metric Space and Banach Contraction Principle

  • Nayyar Mehmood,
  • Niaz Ahmad

摘要

In this chapter, a new generalization of metric space is presented, which generalizes the notions of b-metric, and its generalizations. Some interesting topological properties are discussed. Some new fixed point results for single and muti-valued mappings are proved. Examples are established to ensure the validity of our results.