On Modified Interpolative Almost ε-Type Contraction in Partial Modular b-Metric Spaces

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Kesik D., Büyükkaya A., Öztürk M.

Axioms, vol.12, no.7, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 7
  • Publication Date: 2023
  • Doi Number: 10.3390/axioms12070669
  • Journal Name: Axioms
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: interpolative contraction, partial modular b-metric space, simulation function
  • Open Archive Collection: AVESIS Open Access Collection
  • Karadeniz Technical University Affiliated: No

Abstract

The current study attempts to identify a new generalized metric space structure, referred to as partial modular (Formula presented.) metric, that extends both partial modular metric space via (Formula presented.) metric space and explains the topological aspects of the new space implementing examples. In addition, a new contraction mapping referred to as modified interpolative almost (Formula presented.) type contraction is determined, which is an interpretation of interpolative contraction bestowed with almost contraction and (Formula presented.) contraction as well as a simulation function and a fixed point theorem that encompass such mappings in the context of partial modular (Formula presented.) metric space is demonstrated. In conclusion, an example and an application that endorse the main theorem’s outcomes are offered.