Solving system of linear equations via bicomplex valued metric space

• Autorzy: Gnanaprakasam Arul Joseph , Boulaaras Salah Mahmoud , Mani Gunaseelan , Cherif Bahri , Idris Sahar Ahmed

Identyfikatory

DOI

10.1515/dema-2021-0046

• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove some common fixed point theorems on bicomplex metric space. Our results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.

Słowa kluczowe

EN

bicomplex valued metric space; common fixed point; linear equation

PL

przestrzeń metryczna; wspólny stały punkt; równanie liniowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 474--487
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Gnanaprakasam Arul Joseph

• Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankolathur 603203, Kanchipuram, Chennai, Tamil Nadu, India

autor

Boulaaras Salah Mahmoud

• Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Buraydah 52571, Saudi Arabia

autor

Mani Gunaseelan

• Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India

autor

Cherif Bahri

• Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Buraydah 52571, Saudi Arabia

autor

Idris Sahar Ahmed

• College of Industrial Engineering, King Khalid University, Abha, 62529, Saudi Arabia

Bibliografia

• [1] C. Segre, Le Rappresentazioni Reali delle Forme Complesse a Gli Enti Iperalgebrici, Math. Ann. 40 (1892), 413–467.
• [2] G. S. Dragoni, Sulle funzioni olomorfe di una variabile bicomplessa, Reale Accad. d’Italia, Mem. Classe Sci. Nat. Fis. Mat. 5 (1934), 597–665.
• [3] N. Spampinato, Estensione nel campo bicomplesso di due teoremi, del Levi-Civita e del Severi, per le funzioni olomorfe di due variablili bicomplesse I, II, Reale Accad. Naz. Lincei 22 (1935), no. 6, 38–43.
• [4] N. Spampinato, Sulla rappresentazione delle funzioni do variabile bicomplessa totalmente derivabili, Ann. Mat. Pura Appl. 14 (1936), no. 4, 305–325.
• [5] H. A. Priestley, Introduction to Complex Analysis, Oxford University Press, Oxford, England, 2008.
• [6] G. B. Price, An Introduction to Multicomplex Spaces and Functions, Marcel Dekker, New York, 1991.
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• [8] M. E. Luna-Elizaarrarás, M. Shapiro, D. C. Struppa, and A. Vajiac, Bicomplex numbers and their elementary functions, Cubo 14 (2012), no. 2, 61–80, DOI: https://doi.org/10.4067/S0719-06462012000200004.
• [9] J. Choi, S. K. Datta, T. Biswas, and N. Islam, Some fixed point theorems in connection with two weakly compatible mappings in bicomplex valued metric spaces, Honam Math. J. 39 (2017), no. 1, 115–126, DOI: https://doi.org/10.5831/HMJ.2017.39.1.115.
• [10] I. H. Jebril, S. K. Datta, R. Sarkar, and N. Biswas, Common fixed point theorems under rational contractions for a pair of mappings in bicomplex valued metric spaces, J. Interdisciplinary Math. 22 (2019), no. 7, 1071–1082, DOI: https://doi.org/10.1080/09720502.2019.1709318.
• [11] S. Choi, S. K. Datta, T. Biswas, and M. Islam, Some fixed point theorems in connection with two weakly compatible mappings in bicomplex valued metric spaces, Honam Math. J. 39 (2017), no. 1, 115–126, DOI: https://doi.org/10.5831/HMJ.2017.39.1.115.
• [12] R. P. Agarwal, S. Gala, and M. A. Ragusa, A regularity criterion in weak spaces to Boussinesq equations, Mathematics 8 (2020), no. 6, 920, 1–14, DOI: https://doi.org/10.3390/math8060920.
• [13] R. P. Agarwal, O. Bazighifan, and M. A. Ragusa, Nonlinear neutral delay differential equations of fourth-order: Oscillation of solutions, Entropy 23 (2021), no. 2, 129, 1–10, DOI: https://doi.org/10.3390/e23020129.
• [14] S. K. Datta, D. Pal, N. Biswas, and S. Sarkar, On the study of fixed point theorems in bicomplex valued metric spaces, J. Calcutta Math. Soc. 16 (2020), no. 1, 73–94.
• [15] I. Beg, S. KumarDatta, and D. Pal, Fixed point in bicomplex valued metric spaces, Int. J. Nonlinear Anal. Appl. 12 (2021), no. 2, 717–727, DOI: https://doi.org/10.22075/ijnaa.2019.19003.2049.

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).