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In this paper, taking into account Caristi's fixed point results on both metric spaces and partial metric spaces, we present their some extensions and generalizations on M-metric spaces. First, by providing a counter example, we noticed that a recent result on Caristi-type fixed point theorem on M-metric space is not suitable. Then we propounded two versions of Caristi's inequality and proved some related fixed point results on M -metric space. [ABSTRACT FROM AUTHOR]

In this paper, we defined (F, h, α, &#956) -- ψ-contractions using pair of (F, h) upper class functions for α-admissible and μ-subadmissible mappings. We proved some fixed point theorems for this type contractive mappings. We proved some fixed point theorems for this type contractive mappings in b-metric spaces. Our results generalize α-admissible results in the literature. [ABSTRACT FROM AUTHOR]

Mihet (D. Mihet, Fuzzy ψ - contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems 159 (2008), 739-744) proved a fixed point theorem for fuzzy ψ - contractive mappings in non-Archimedean fuzzy metric spaces. Motivated by this, in this paper, we provide two kinds of fixed point theorems in fuzzy metric spaces. First we prove a common fixed point theorem for fuzzy ψ - contractive mappings in fuzzy metric spaces and then we obtain a common fixed point theorem for three mappings in fuzzy metric spaces, by contractivity condition (D. Mihet, A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems 144 (2004), 431-439), (V. Radu, Some remarks on the probabilistic on fuzzy menger spaces, in: The Eighth Internal Conference on Appl Math Com-put Sci, Cluj-Napoca, 2002, Automat Comput Appl Math 11 (2002), 125-131). [ABSTRACT FROM AUTHOR]

Existence of a fixed point for a fuzzy mapping satisfying a generalized contractive condition is proved. Our result, supported with an example, provide extension as well as substantial improvements of several well known results in the existing literature. [ABSTRACT FROM AUTHOR]

In this paper we introduce G-cone metric spaces and we give some properties about this spaces. Further we prove some fixed point results for mapping satisfying sufficient conditions on complete G-cone metric space, then we showed that if the G-cone metric space (X;G) is symmetric ,the existence and uniqueness of these fixed point results follow from well-known theorems in cone metric space (X, dG), where (X, dG) is the cone metric space which defined from the G-cone metric space (X, G). [ABSTRACT FROM AUTHOR]

In this paper, we proved a fixed point theorem and a common fixed point theorem in cone metric spaces for generalized contraction mappings where some of the main results of Ćirić in [8, 27] are recovered. [ABSTRACT FROM AUTHOR]

In this paper we proved some fixed points of mappings satisfying a new condition in cone metric spaces, where some of the main results of Ćirić in [4] are recovered. [ABSTRACT FROM AUTHOR]

We use the order relation on uniform spaces defined by Altun and Imdad (2009) to prove some new fixed-point and coupled fixed-point theorems for multivaluedmonotone mappings in ordered uniform spaces. [ABSTRACT FROM AUTHOR]

In this paper, some topological concepts and definitions are generalized to cone metric spaces. It is proved that every cone metric space is first countable topological space and that sequentially compact subsets are compact. Also, we define diametrically contractive mappings and asymptotically diametrically contractive mappings on cone metric spaces to obtain some fixed point theorems by assuming that our cone is strongly minihedral. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we define KKM mappings in cone metric spaces and define -cone metric spaces to obtain some fixed point theorems and hence generalize the results obtained in [A. Amini, M. Fakhar, J. Zafarani, KKM mapping in metric spaces, Nonlinear Anal. 60 (2005) 1045–1052]. [Copyright &y& Elsevier]

In this paper we prove two new fixed point theorems for three single valued mappings with functions on three complete uniform spaces. [ABSTRACT FROM AUTHOR]

In this paper two general fixed point theorems on three complete metric spaces which generalize the results from [1] and [2] using functions are proved. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concepts of commutativity and give the relationship between the concepts of commutativity and compatibility in intuitionistic fuzzy metric spaces. Thereafter, we prove two common fixed point theorems for the concept of compatibility in intuitionistic fuzzy metric spaces and give an example to support our main theorem. [ABSTRACT FROM AUTHOR]

In this paper we prove a common fixed point theorem for compatible maps of type (α) on fuzzy metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we establish a common fixed point theorem in complete fuzzy metric spaces which generalizes some results in [13]. [ABSTRACT FROM AUTHOR]

In this paper, we prove a fixed point theorem for mappings satisfying a general contractive condition of operator type. In short, we are going to study mappings T : X → X for which there exists a real number λ ∈ (0, 1) such that for each x, y ∈ X one has O(ƒ; d(Tx, Ty)) ≤ λO(ƒ;m(x, y)), where O(ƒ; ·) and f are defined in first section. Also in first section, we give some examples for O(ƒ; ·). The second section contains the main result. In last section, we give some remarks and an example. This example shows that the mapping T is not satisfying Ćirić's generalized contraction but it is satisfying a generalized operator type contraction. [ABSTRACT FROM AUTHOR]

In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular metric space includes some kind of metric structures. Finally, we provide some fixed point results for both contraction and quasicontraction type mappings on generalized modular metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we prove some coupled coincidence point results for mixed g-monotone mappings in partially ordered metric spaces via new functions. The main results of this paper are generalizations of the main results of Luong and Thuan [ N.V. Luong, N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011) 983- 992]. [ABSTRACT FROM AUTHOR]

In this paper, we use the order relation on partial metric spaces defined by [1] to prove some new fixed point theorems for multivalued monotone mappings in ordered partial metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we define intuitionistic fuzzy contractive mappings and mutually contractive mappings on intuitionistic fuzzy metric spaces. We also establish an intuitionistic fuzzy form of the Banach fixed point theorem and a unique common fixed point theorem for such mappings. [ABSTRACT FROM AUTHOR]