Generalizations of Kannan-type Mappings and Their Fixed Point Theorems in Modular b-Metric Spaces

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A. Hayati, L. Harini, A. Winarni, N. Muhassanah

2026 Malaysian Journal of Mathematical Sciences Vol. 20 Issue 1 Article Cited by 0

Abstract

This paper establishes fixed point theorems for generalized Kannan-type mappings in modular b-metric spaces by using subadditive altering distance functions. The fixed point theorems presented in this paper extend the existing results for generalized Kannan-type mappings in b-metric spaces by adding the △2-type condition into the modular b-metric space framework. © 2026, Universiti Putra Malaysia. All rights reserved.

Affiliations

Universitas Nahdlatul Ulama Purwokerto, Jawa Tengah, Indonesia; Universitas Negeri Yogyakarta, Yogyakarta, Indonesia