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Some fixed point results on double controlled cone metric spaces

Laxmi Rathour|P. S. SRINIVASAN|R. Theivaraman|A. Herminau Jothy|S. Thenmozhi
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2024.06|한국수학논문집 (Korean Journal of Mathematics)|제32권 제2호|pp. 329-348

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키워드

fixed pointcone metric spacedouble controlled cone metric space$B$-contractionrational contraction mappings.
주제분류수학

초록

In this text, we investigate some fixed point results in double-controlled cone metric spaces using several contraction mappings such as the B-contraction, the Hardy-Rogers contraction, and so on. Additionally, we prove the same fixed point results by using rational type contraction mappings, which were discussed by the authors Dass. B. K and Gupta. S. Also, a few examples are included to illustrate the results. Finally, we discuss some applications that support our main results in the field of applied mathematics.

Abstract

In this text, we investigate some fixed point results in double-controlled cone metric spaces using several contraction mappings such as the B-contraction, the Hardy-Rogers contraction, and so on. Additionally, we prove the same fixed point results by using rational type contraction mappings, which were discussed by the authors Dass. B. K and Gupta. S. Also, a few examples are included to illustrate the results. Finally, we discuss some applications that support our main results in the field of applied mathematics.

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