Adjusted Hardy-Rogers-Type Result Generalization

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Submitted: November 9, 2023
Published: Dec 8, 2023
DOI: 10.29328/journal.ijpra.1001073
Keywords:
Fixed point, Contractive type, Existence/Uniquensess

Main Article Content

Jayashree Patil
Department of Mathematics, Vasantrao Naik Mahavidyalaya, Cidco, Chhatarapati Sambhaji Nagar, India
Basel Hardan*
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Chhatarapati Sambhaji Nagar 431004, India
Ahmed A Hamoud
Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen
Kirtiwant P Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Chhatarapati Sambhaji Nagar 431004, India
Alaa A Abdallah
Department of Mathematics, Abyan University, Abyan 80425, Yemen

Abstract

The adjusted Hardy-Rogers result generalization for the fixed point is demonstrated in this study, validating our results utilizing an application.

Article Details

Patil, J., Hardan, B., Hamoud, A. A., Ghadle, K. P., & Abdallah, A. A. (2023). Adjusted Hardy-Rogers-Type Result Generalization. International Journal of Physics Research and Applications, 6(2), 199–202. https://doi.org/10.29328/journal.ijpra.1001073
Research Articles

Copyright (c) 2023 Patil J, et al.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Banach S. On Operations in Abstract Sets and Their Application to Equations, Integrals Fundam. Math. 1922; 3:133-181.

Kannan R. Some remarks on fixed points, Bull Calcutta Math. Soc. 1968; 60:71-76.

Reich S. Kannan's fixed point theorem, Bull, Univ. Mat. Italiana. 1971; (4) 4:1-11.

Hardy GE, Rogers TD. A generalization of fixed point theorem of Reich, Canada. Math. Bull. 1973; 16(2):201-206.

Rangamma M, Bhadra P. Hardy and Rogers type contractive condition and common fixed point theorem in cone-2-metric space for a family of self-maps, Global journal of pure and applied mathematics. 2016; 12(3):2375-2385.

Chifu C, Patrusel G. Fixed point results for multi valued Hardy-Rogers contractions in b-metric spaces. Faculty of sciences and mathematics. University of Nic, Serbia. 2017;31(8):2499-2507.

Patil J, Hardan B, Ahire Y, Hamoud A, Bachhav A. Recent advances on fixed point theorems, Bulletin of Pure & Applied Sciences- Mathematics and Statistics. 2022; 41(1):34-45.

Olisama V, Olalern J, Akewe H. Best proximity point results for Hardy-Rogers p-proximal cyclic contraction in uniform spaces, fixed point theory and applications. 2018; 18:15 pages.

Abbas M, Aydi H, Radenović S. Fixed point of T-Hardy-Rogers contractive mappings in partially ordered partial metric spaces. International journal of mathematics and mathematical sciences. 2012(2022); 11 pages.

Rhymend V, Hemavathyy R. Common fixed point theorem for T-Hardy-Rogers contraction mapping in a cone metric space, International mathematical forum. 2010; 30(5):1495-1506.

Saipara P, Khammahawong K. Fixed point theorem for a generalized almost Hardy-Rogers- type F-cotractive on metric-like spaces, Mathematical methods in the applied sciences. 2019; 42(39):5898-5919.

Raghavendran P, Gunasekar T, Balasundaram H, Santra SS, Majumder D, Baleanu D. Solving fractional integro-differential equations by Aboodh transform. J. Math. Computer Sci. 2023; 32:229-240.

Hardan B, Patil J, Hamoud AA, Bachhav A. Common fixed point theorem for Hardy-Rogers contractive type in Cone 2-metric spaces and its results, Discontinuity, Nonlinearity, and Complexity. 2023; 12(1):197-206

Hamoud A, Patil J, Hardan B, Bachhav A. Coincidence point and common fixed point theorem for generalized Hardy-Rogers type -contraction mappings in a metric like space with an application, Dynamic of continuous, Discrete and Implsive System Series B: Applications and Algorithms. 2021; 27:268-281.

Patil J, Hardan B, Hamoud A, Bachhav A, Emadifar H, Gnerhan H. Generalization contractive mappings on rectangular b-metric space, Advances in Mathematical Physics. 2022; 2022: Article ID 7291001.