MODIFIED HARDY-ROGERS-TYPE FIXED POINT THEOREM
Keywords:
linear functional, normed spaces, inner product spaces, complete metric space, nonexpansive mapping, fixed point, fixed pointDOI:
https://doi.org/10.17654/0973422823004Abstract
We modify the Hardy-Rogers’ theorem and establish the same in an uncomplicated way. We provide an application in support of our result.
Received: July 16, 2023
Accepted: September 21, 2023
References
Mujahed Abbas, Hassen Aydi and Stojan Radenovic, Fixed point of T-Hardy-Rogers contractive mappings in partially ordered partial metric spaces, Int. J. Math. Math. Sci. 2012 (2012), Article ID 313675, 11 pages.
S. Banach, Sur les operations’ dand les ensembles abstrait et leur application aux equations integrales, Fundam. Math. 3 (1922), 133-181.
Cristian Chifu and Gabriela Patrusel, Fixed point results for multi valued Hardy-Rogers contractions in b-metric spaces, Filomat 31(8) (2017), 2499-2507.
G. E. Hardy and T. D. Rogers, A generalization of fixed point theorem of Reich, Canada. Math. Bull. 16(2) (1973), 201-206.
R. Kannan, Some remarks on fixed points, Bull Calcutta Math. Soc. 60 (1960), 71-76.
J. Patil, B. Hardan, M. Abdo, A. Chaudhari and A. Bachhav, Generalized fractional differential equations by using a fixed point theorem for generalized contractive type, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 28(2) (2021), 77-88.
J. Patil, B. Hardan, A. Hamoud, A. Bachhav and H. Emadifar, A new result on Branciari metric space using -contractive mappings, Topological Algebra and its Applications 10(1) (2022), 103-112.
Victoria Olisama, Johnson Olalern and Hudson Akewe, Best proximity point results for Hardy-Rogers p-proximal cyclic contraction in uniform spaces, Fixed Point Theory and Applications 18 (2018), 15 pp.
M. Rangamma and P. Rama Bhadra, Hardy and Rogers type contractive condition and common fixed point theorem in cone-2-metric space for a family of self-maps., Glob. J. Pure Appl. Math. 12(3) (2016), 2375-2385.
S. Reich, Kannan’s fixed point theorem, Bull. Univ. Mat. Italiana (4) 4 (1971), 1-11.
V. Rhymend and R. Hemavathyy, Common fixed point theorem for T-Hardy-Rogers contraction mapping in a cone metric space, Int. Math. Forum 5(30) (2010), 1495-1506.
Plern Saipara, Konorawt Khammahawong and Poom Kumam, Fixed-point theorem for a generalized almost Hardy-Rogers-type F contraction on metric-like spaces, Math. Methods Appl. Sci. 42 (2019), 5898-5919.
doi.org/10.1002/mma.5793.
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