Fixed Point Theorems of Caristi's Type in Quasi b-Metric Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-142
Published: Apr 30, 2026
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Z. D. Mitrović, I. D. Arandelović, Ola Ashour A Abdelnaby, Abdulkareem Saleh Hamarsheh, Rajagopalan Ramaswamy, V. Djokić, Fixed Point Theorems of Caristi's Type in Quasi b-Metric Spaces, Int. J. Anal. Appl., 24 (2026), 142.

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Z. D. Mitrović, I. D. Arandelović, Ola Ashour A Abdelnaby, Abdulkareem Saleh Hamarsheh, Rajagopalan Ramaswamy, V. Djokić

Abstract

The famous Cartisti’s fixed point theorem became popular after the Ph. D. thesis of James Caristi entitled "The Fixed Point Theory for Mappings Satisfying Inwardness Conditions" defended in 1975 at Iowa State University, under the supervision of William Arthur Kirk. However, the result was first reported in the conference proceedings of the conference titled "Geometry of Metric Linear Spaces" held in June 1974. Subsequently, Felix E. Browder suggested one reformulation of basic result. In our work we establish corresponding result for quasi b - metric spaces and supplement the derived result with suitable non trivial example.

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