Complete metric space
Generalized Contraction Mapping and Fixed Point Theorems in Complete Metric Space
... Poincare [17] was the first to work in this field Fixed Point Theory. Then Brouwer [4] in 1912, proved fixed point theorem for the solution of the equation ( ) = . He also proved fixed point theorem for a square, a ...
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Some Common Fixed Point Theorems In Complete Metric Space via Weakly Commuting Mappings
... All the results on fixed point theorems of weakly commuting mappings gives a new impetus of studying common fixed points of mapping which satisfies some contractive type conditions. In 1986 Jungck [12] obtain weak ...
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Random fixed point theorems for multi valued contraction mappings in complete metric space
... proved some fixed point theorems in complete metric space. Also we use new multi-valued contractive conditions which are different from previous conditions. Using these conditions some random fixed ...
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Common Fixed Point Theorem of Weakly Compatible Maps In Complete Metric Space
... a complete Metric space, which states that, “A contraction mapping has a unique fixed point in a complete Metric ...in complete Metric ...in Complete Metric ...
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UNIQUE FIXED POINT THEOREMS IN COMPLETE METRIC SPACE
... The French Mathematician H. Poincare [1854-1912] first recognized the importance of the study of the nonlinear problems. Since then several methods have been developed for proving the fixed point by generalizing the ...
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Common fixed point theorem of three mappings in Complete Metric space
... a complete Metric space, which states that , “ A contraction has a unique fixed point theorem in a complete Metric space ...in complete Metric ...
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Common Fixed Point Theorems of Gregus Type in a Complete Metric Space
... topological space X is metrisable if and only if it has a countable base of neighbourhoods of ...linear metric space can always be defined by a real-valued function F : X → , called F − norm such that ...
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Fixed Points of Generalized (Α, Ψ)− Contractive Maps
... In 2012, Samet, Vetro and Vetro [1] introduced a new concept on contractive maps namely (α, ψ)−contractive mappings and established fixed point theorems in complete metric space. Here we note that ...
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Genericity and porosity in fixed point theory: a survey of recent results
... the complete metric space (M, d), which was introduced in the previous ...this space of sequences of nonexpansive mappings are, in fact, contractive (see the definition ...
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Fixed point results for the α Meir Keeler contraction on partial Hausdorff metric spaces
... the complete metric ...partial metric spaces and proved the Banach fixed point theorem in the context of complete partial metric ...
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Generalization of fixed point theroms and selfmap of f orbitally complete d metric space
... as metric, Banach, Hilbert, locally convex and Housdorff spaces etc are used in formulating the fixed point ...in complete metric ...of metric function is generalization of the idea of the ...
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Convergence of the Sequence of Successive Approximations to a Fixed Point
... The following famous theorem is referred to as the Banach-Caccioppoli contraction principle. This theorem is very forceful and simple, and it became a classical tool in nonlinear analysis. Theorem 1.1 see Banach 1 and ...
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Vol 7, No 10 (2016)
... the metric space (X, ...the metric space (X, q). Since (X, q) is complete, then from lemma 2, (X, 𝑎𝑎 𝑝𝑝 𝑞𝑞 ) is a complete metric ...
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Related fixed point theorems on two complete and compact metric spaces
... KEY WORDS AND PIIRASES: Fixed point, complete metric space, compact metric space 1991 AMS SUBJECT CLASSHZICATION CODES: 54FI25.. The following related fixed point theorem was proved in ][r] ...
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Vol 9, No 8 (2018)
... Theorem 2.1: The sequence space of interval numbers Γ π ( IR ) is a complete metric space with respect to the metric defined by (2.1).9. DwyerP.S., Error of matrix computation, simul[r] ...
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Common Fixed Point Theorem for Mappings in Quasi Metric Space
... In this paper new fixed point theorem in complete quasi metric space has been proved for mappings satisfying some new type of rational contraction conditions.. A complete metric space is[r] ...
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Selective Strong Screenability
... topological space X is said to be a discrete family if each point in X has a neighborhood which has nontrivial intersection with at most one element of F ...a space strongly screenable if instead of each V ...
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Vol 3, No 1 (2012)
... I n this paper we introduce the concept of non-Archimedean G-fuzzy metric space and obtain some results for two semi- compatible mappings in this newly defined space. Our results improve and ...
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Fw-contractions in a complete G-metric space
... D-metric space as a generalization of the metric space and proved some results in this ...G-metric space as a generalized form of the metric ...
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Median and injective metric spaces
... median metric space lies inside another finite subset which is median in the restricted ...median metric is different from the usual CAT(0) ...
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