Generalized Metric Spaces
Tripled coincidence point results for generalized contractions in ordered generalized metric spaces
... of generalized metric spaces or simply G- metric spaces as a generalization of the concept of a metric ...G- metric spaces was obtained by Saadati et ...
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Fixed points for generalized (α,ψ) contractions on generalized metric spaces
... some generalized ( α , ψ )-contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory ...
16
Fixed point results in multiplicative generalized metric spaces
... multiplicative generalized metric spaces and then prove the Banach contraction principle in setting of newly defined ...multiplicative generalized metric spaces and provide some ...
35
Some fixed point theorem in generalized metric spaces
... standard metric spaces using the notion of generalized metric space introduced by Jleli and Samet ...A generalized metric space and related fixed point theorems, Fixed Point ...
8
On Mappings with Contractive Iterate at a Point in Generalized Metric Spaces
... Since 2q need not be less then 1 we can use metric fixed point results only for q < 1/2. On the other side, using the concept of G-metric space, we are going to prove the result, if the first case for ...
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α ψ Geraghty contractions on generalized metric spaces
... Fixed point theory focuses on the strategies for solving nonlinear equations of kind Tx = x, where the function T is defined on some abstract space X. It is well known that the classical contraction mapping principal of ...
21
On some fixed point theorems in generalized metric spaces
... From Remark . and Theorem . in [] we can deduce the following corollaries. Corollary . Let (X, D) be a complete metric space, and let T, f : X → X be two mappings such that T is continuous, one-to-one, and ...
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Cone Metric Spaces are not Generalized Metric Spaces: A Plenary Survey
... Abstract. We round up the concept of cone metric spaces, by giving major tries, to make general, the concept of metric spaces. Authors always reached the conclusion that they didn’t really ...
8
Probabilistic convergence spaces and generalized metric spaces
... Our goal is to find simple axioms for objects in PPRS, based entirely on convergence criteria, which characterize pq-MET considered as a subcategory of PPRS along with its most important[r] ...
14
Vol 3, No 3 (2012)
... b-metric spaces (see[3],[12],[13]). Generalizations of metric spaces were proposed by Gahler[31],(called 2-metric spaces) and Dhage[2],(called D-metric ...D-metric ...
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Common fixed point theorems via weakly compatible mappings in complete G-metric spaces: using control functions
... D-metric spaces as generalization of ordinary metric func- tions and went on to present several fixed point results for single and multivalued mappings; see [1-4] and the references ...[11] ...
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φ-Contraction in generalized probabilistic metric spaces
... In the same vein probabilistic generalized metric spaces have been introduced by Zhou et al. [] wherein they also proved certain primary fixed point results in these spaces. An interesting ...
9
Fixed Point Theorems in Generalized M-Fuzzy Metric Spaces and its Applications
... The study of fixed points of a function satisfying certain contractive conditions has been at the center of rigorous research activity. Mustafa and Sims generalized the concept of a metric space. Based on ...
7
Existence of Fixed Point Results in G Metric Spaces
... of generalized metric spaces see 9, which are called G-metric spaces as generalization of metric space X, d, to develop and introduce a new fixed point theory for various ...
10
The Penalty Method for a New System of Generalized Variational Inequalities
... and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ...
8
Fixed point results for generalized F-contractions in modular metric and fuzzy metric spaces
... modular spaces and further it was generalized and redefined by Musielak and Orlicz [, ] in ...modular metric spaces in [, ...A metric on a set represents nonnegative finite distances ...
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Fixed and periodic points of generalized contractions in metric spaces
... ordered metric spaces was investigated and applied by Ran and Reurings ...ordered metric spaces (see ...the metric fixed point theory and its applications (for details, see ...
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Ulam-Hyers stability and well-posedness of fixed point problems for α-λ-contractions on quasi b-metric spaces
... Let (X, q) be a quasi b-metric space and = { (x, x) : x ∈ X } denote the diagonal of the cartesian product X × X. Following [], a directed graph G such that the set V (G) of its vertices coincides with X and the ...
20
Generalized probabilistic metric spaces and fixed point theorems
... of metric spaces and proposed a generalization of metric spaces called Menger probabilistic metric spaces (briefly, Menger ...
15
Existence Theorems for Generalized Distance on Complete Metric Spaces
... Then, by hypotheses, Z is nonempty and closed. Thus Z is a complete metric space. Hence we may prove that there exists an element v ∈ Z such that fm > fv − hv, m for all m ∈ X with m / v. Suppose not. Then, for ...
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