A Fixed Point Theorem for Kannan-type Maps in Metric Spaces

2012/11/30 by Mitropam Chakraborty, Chakraborty, Mitropam, S. K. Samanta +1
Mathematics · Physics and Astronomy · #47H10 (Primary) 47H09 (Secondary) #Advanced Differential Geometry Research #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN) #math.GN #msc:47H09 #msc:47H10

paper · pdf · doi:10.48550/arxiv.1211.7331

7 pages, No figures

openalex publication_date 2012/11/30 · arxiv created 2012/12/16 · arxiv updated 2012/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a generalization of Kannan's fixed point theorem, based on a recent result of Vittorino Pata.

Related

• Kannan Fixed-Point Theorem On Complete Metric Spaces And On Generalized Metric Spaces Depended an Another Function
• Fixed point results for multipoint Kannan-type mappings
• General contractions in new type perturbed metric spaces
• Generalizations of Banach and Kannan Fixed point theorems in b_v(s) metric spaces
• More general contractions in perturbed metric spaces