Advancements in Fixed Point Theorems for $\alpha$-Geraghty Contractions in Complete Metric Space |
Received:November 27, 2023 Revised:March 04, 2024 |
Key Words:
fixed point theorems contractive mappings $\alpha$-Geraghty contractions complete metric spaces Lebesgue integrals $\alpha$-admissible $\alpha$-orbital $\alpha$-orbital attractive
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Fund Project: |
Author Name | Affiliation | V. C. BORKAR | School of Mathematical at Yeshwant Mahavidyalaya, Swami Ramanand Teerth Marathwada University, Nanded-431606, India | Mohammed M. A. TALEB | School of Mathematical at Science College, Swami Ramanand Teerth Marathwada University, Nanded-431606, India Department of Mathematics, Hodeidah University, Al-Hodeidah, Yemen | Saeed A. A. AL-SALEHI | School of Mathematical at Science College, Swami Ramanand Teerth Marathwada University, Nanded-431606, India Department of Mathematics, Aden University, Aden, Yemen |
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Abstract: |
This article improves and advances the results achieved by Vishal and Naveen, leveraging the use of Lebesgue integrable functions. Going beyond, we investigate fixed point theorems associated with a concept introduced by Ovidiu Popescu. Our research not only bolsters the theoretical framework but also unveils practical applications in the domain of Lebesgue integrals as in Example 3.6. Furthermore, our contribution enhances the understanding of fixed point theorems in metric spaces and introduces novel perspectives in the study of generalized $\alpha$-Geraghty contractive mappings on Lebesgue integrals. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2024.05.010 |
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