Advancements in Fixed Point Theorems forα-Geraghty Contractions in Complete Metric Space  

作　　者：V.C.BORKAR Mohammed M.A.TALEB Saeed A.A.AL-SALEHI 

机构地区：[1]School of Mathematical at Yeshwant Mahavidyalaya,Swami Ramanand Teerth Marathwada University,Nanded-431606,India [2]School of Mathematical at Science College,Swami Ramanand Teerth Marathwada University,Nanded-431606,India [3]Department of Mathematics,Hodeidah University,Al-Hodeidah,Yemen [4]Department of Mathematics,Aden University,Aden,Yemen

出　　处：《Journal of Mathematical Research with Applications》2024年第5期697-710,共14页数学研究及应用（英文版）

摘　　要：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 generalizedα-Geraghty contractive mappings on Lebesgue integrals.

关 键 词：fixed point theorems contractive mappings α-Geraghty contractions complete metric spaces Lebesgue integrals α-admissible α-orbital α-orbital attractive 

分 类 号：O177.91[理学—数学]