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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Common Fixed Point Theorem for Hardy-Rogers Contractive Type in Cone 2-Metric Spaces and Its Results

Discontinuity, Nonlinearity, and Complexity 12(1) (2023) 197--206 | DOI:10.5890/DNC.2023.03.014

Basel Hardan$^{1}$, Jayashree Patil$^2$, Ahmed A. Hamoud$^3$, Amol Bachhav$^4$

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Abstract

In this paper, Hardy-Rogers type common fixed point theorem of self contractive maps in cone 2-metric spaces over Banach algebra is proved. The corresponding conclusions in the literature are improved and generalize by obtained results. Some examples proposed to illustrate our main results.

Acknowledgments

%The authors would like to thank the referees and the editor %of this journal for their valuable suggestions and comments that improved this paper.

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