Unique Solution of Integral Equations via Intuitionistic Extended Fuzzy b-Metric-Like Spaces  

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作  者:Naeem Saleem Khalil Javed Fahim Uddin Umar Ishtiaq Khalil Ahmed Thabet Abdeljawad Manar A.Alqudah 

机构地区:[1]Department of Mathematics,University of Management and Technology,Lahore,54770,Pakistan [2]Department of Math&Stats,International Islamic University Islamabad,Islamabad,44000,Pakistan [3]Abdus Salam School of Mathematical Sciences,Government College University,Lahore,54600,Pakistan [4]Office of Research,Innovation and Commercialization,University of Management and Technology,Lahore,54770,Pakistan [5]Department of Mathematics and Sciences,Prince Sultan University,Riyadh,11586,Saudi Arabia [6]Department of Medical Research,China Medical University,Taichung,40402,Taiwan [7]Department of Mathematical Sciences,Faculty of Sciences,Princess Nourah Bint Abdulrahman University,Riyadh,11671,Saudi Arabia

出  处:《Computer Modeling in Engineering & Sciences》2023年第4期109-131,共23页工程与科学中的计算机建模(英文)

基  金:Princess Nourah bint Abdulrahman University Researchers Supporting Project No.(PNURSP2022R 14);Princess Nourah bint Abdulrahman University,Riyadh,Saudi Arabia.

摘  要:In this manuscript,our goal is to introduce the notion of intuitionistic extended fuzzy b-metric-like spaces.We establish some fixed point theorems in this setting.Also,we plot some graphs of an example of obtained result for better understanding.We use the concepts of continuous triangular norms and continuous triangular conorms in an intuitionistic fuzzy metric-like space.Triangular norms are used to generalize with the probability distribution of triangle inequality in metric space conditions.Triangular conorms are known as dual operations of triangular norms.The obtained results boost the approaches of existing ones in the literature and are supported by some examples and applications.

关 键 词:Fixed point extended fuzzy b-metric like space intuitionistic extended fuzzy b-metric-like space integral equation 

分 类 号:O159[理学—数学]

 

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