Some New Dimensional Approach In Bicomplex Valued Metric Spaces - Datta, Sanjib Kumar;Sarkar, Rakesh
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Fixed point theory is one of the famous and traditional milestones in Mathematical Analysis and has a broad number of applications in different branches of Pure and Applied Mathematics. Contraction is one of the essential tools in this theory to prove the existence and uniqueness of fixed points. In 1892 searching for special algebras, Corrado Segre published a paper in which he treated an algebra whose elements are called bicomplex numbers. Banach contraction principle is a very popular and effective tool for solving existence problems in many branches of mathematical analysis. In this…mehr

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Produktbeschreibung
Fixed point theory is one of the famous and traditional milestones in Mathematical Analysis and has a broad number of applications in different branches of Pure and Applied Mathematics. Contraction is one of the essential tools in this theory to prove the existence and uniqueness of fixed points. In 1892 searching for special algebras, Corrado Segre published a paper in which he treated an algebra whose elements are called bicomplex numbers. Banach contraction principle is a very popular and effective tool for solving existence problems in many branches of mathematical analysis. In this monograph our attempt is to generalise this principle in partial and bicomplex valuedmetric spaces.
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Autorenporträt
Dr. Sanjib Kumar Datta is currently an Associate Professor at the Department of Mathematics, Kalyani University, India. During his teaching and research career of more than 15 years, he has published nearly 200 Research Papers and supervised 17 Ph.D. Scholars. Presently, he is a reviewer of American Mathematical Society and Zentralblatt Math.