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In this paper, we prove the existence of fixed points for Kannan contraction, Chat- terjea contraction and Reich contraction in setting of digital metric spaces. These digital con-tractions are the applications of metric fixed point theory contractions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new idea of best proximity point of F-contraction on a closed ball and obtain new theorems in a complete metric space. That is why this outcome becomes useful for contraction of a mapping on a closed ball instead of the whole space. At the same time, some comparative examples are constructed which establish the superiority of our results. Our results that have come into being give a proof of extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature. [ABSTRACT FROM AUTHOR]

In this paper, we, motivated by Mihet [2], give the concept of two nonlinear contractions ((φ, ε-λ)-contraction and (f, bn)-contraction) in KM-fuzzy metric spaces, and obtained some fixed point theorems. We answer the open question posed by Mihet in [2, open question 2]. Finally, an example can be used to be exemplify our results. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some coupled fixed point results for two mappings satisfying some contractive conditions in cone b-metric spaces over Banach algebras with a solid cone by virtue of the properties of spectral radius. Also we give an example as an applications of one of the main results. [ABSTRACT FROM AUTHOR]

In this paper, the authors study a coupled system of nonlinear fractional differential equations of order α, β ∈ (4, 5), the differential operator is taken in the Caputo sense. By using the Schauder fixed point theorem and the contraction mapping principle, the existence and uniqueness of solutions to the system with anti-periodic boundary conditions are obtained. Two examples are given to demonstrate the feasibility of the results. [ABSTRACT FROM AUTHOR]

Starting from the papers [Berinde, V., Borcut, M., Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal., 74 (2011), 4889-4897], [Borcut, M., Berinde, V., Tripled co- incidence theorems for contractive type mappings in partially ordered metric spaces, Appl. Math. Comput., 218 (10) (2012), 5929-5936] and [Borcut, M., Tripled coincidente point theorems for contractive type mappings in partially ordered metric spaces, Appl. Math. Comput., 218 (2012), 7339-7346.], we present new results on the existence and uniqueness of tripled fixed points for nonlinear mappings in partially ordered complete metric spaces satisfying more general contractive conditions. [ABSTRACT FROM AUTHOR]