Titlebook: Metric Fixed Point Theory; Applications in Scie Pradip Debnath,Nabanita Konwar,Stojan Radenović Book 2021 The Editor(s) (if applicable) and

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,Application of Fixed Point Iterative Methods to Construct Fractals and Anti-fractals,tals (tricorns, multicorns and Anti-Julia sets) for the complex polynomials and antipolynomials of the type . and ., respectively, where . and .. We derive some escape criteria to generate fractals and anti-fractals by adopting the Suantai type iterative method. Moreover, we graphically visualize an

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A Mathematical Model Using Fixed Point Theorem for Two-Choice Behavior of Rhesus Monkeys in a Nonco would exhibit behavior similar to that of humans or to that of paradise fish. In this chapter, our aim is to examine the conduct of Rhesus monkeys in such a noncontingent environment and to establish an appropriate mathematical framework for the same. We establish the existence and uniqueness of so

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Study of Fixed Point Theorem and Infinite Systems of Integral Equations,In this chapter, we propose some generalizations of the Meir-Keeler fixed point theorem involving a measure of noncompactness and prove the existence of a solution for an infinite system of functional integral equations by using this new type of fixed point theorem in Banach space. With the help of suitable examples, we illustrate our results.

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Common Fixed Point Theorems and Applications in Intuitionistic Fuzzy Cone Metric Spaces,The aim of this chapter is to establish some common fixed point theorems in intuitionistic fuzzy cone metric space (in short, IFCMS) for compatible and weakly compatible mappings. The existence and uniqueness of the common fixed point have been studied. In order to substantiate the non-triviality of results some examples are provided.

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Basic Fixed Point Theorems in Metric Spaces,e and finally contains results established in the recent years as well. The proofs are presented for every theorem discussed here. Several illustrations are given. The development is presented separately for functions with and without continuity property. Only results on metric spaces without any additional structures are considered.

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,Modular Spaces and Fixed Points of Generalized Contractions, the existence and uniqueness of common fixed points for a couple of self-maps in some classes of modular spaces, where the modular is satisfying the .-condition. In fact, we generalize the kind of nonlinear contraction for self-maps that is the result in [.].