Generalized contraction mapping
Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces
... prove contraction mapping principle and relevant best proximity point ...the generalized contraction mapping principle and generalized best proximity point theorems have been ...
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Further generalized contraction mapping principle and best proximity theorem in metric spaces
... further generalized contraction mapping ...further generalized contraction mapping principle, the authors prove a further generalized best proximity ...
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Generalized Contraction Mapping and Fixed Point Theorems in Complete Metric Space
... The contraction mapping theorem states that a strict contraction on a complete metric space has a unique fixed ...The contraction mapping theorem is only one example of fixed point ...
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Vol 3, No 9 (2012)
... [8] generalized the concept of probabilistic metric space and studied an interesting notion of fuzzy metric space with the help of continuous ...of contraction mappings in probabilistic and fuzzy metric ...
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Some fixed point results in dislocated quasi metric (dq metric) spaces
... Hitzler and Seda [] investigated the useful applications of dislocated topology in the context of logic programming semantics. In order to obtain a unique supported model for these programs, they introduced the notation ...
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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 class of problems in ...
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Common fixed points of f contraction mapping with generalized altering distance function in partially ordered metric spaces
... generalized altering distance functions. I tried to answer the questions how can we prove the existence of common fixed points of f-contraction mappings defined on complete metric spaces endowed with a ...
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UNIQUE FIXED POINT THEOREMS IN COMPLETE METRIC SPACE
... the contraction mapping theorems states that a strict contraction on a complete Metric Space has a unique fixed point ...of contraction mapping in complete metric space which include ...
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Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces
... Banach’s contraction mapping principle [ ] has been the source of metric fixed point theory with its wide applicability in different branches of ...contractive mapping to prove the fixed point ...
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Fixed point theorems for generalized weakly contractive mappings in quasi-metric space
... Banach’s contraction principle is one of very important theorems has been generalized in various ...weak contraction has introduced by guerre delabre in hilbert space [1], Rhoeds extend this concept ...
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Common Fixed Point Theorems for Weakly Compatible Mapping Satisfying Generalized Contraction Principle in Complete G-Metric Spaces
... Some generalizations of the notion of a metric space have been proposed by some authors. Gahler [1,2] coined the term of 2-metric spaces. This is extended to D-metric space by Dhage (1992) [3, 4]. Dhage proved many fixed ...
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Some Fixed Point Theorems in Complete v generalized Metric Spaces
... The contraction principle introduced by Banach [1] is one of the most important results in mathematical ...was generalized in many different directions (see ...
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Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations
... where < β < α is a constant. By using Theorem ., we can get the following result. Theorem . Let X be a partially ordered set and suppose that there exists a metric d in x such that (X, d) is a complete metric ...
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Generalized contraction principle under relatively weaker contraction in partial metric spaces
... In this paper, we introduce the notions, e.g. R-precompleteness, ρ-self-closedness and R-continuity in the setting of partial metric spaces endowed with a binary relation R and establish fixed point results for ...
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Common fixed point theorem for generalized T-Hardy-Rogers contraction mapping in a cone metric space
... In sequel, J.R. Morales and E. Rojas [12], [13] obtained sufficient condition for the existence of a unique fixed point of T-Kannan contractive, T-Zamfirescu, T-contractive mappings etc, on complete cone metric spaces. ...
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An extension of the contraction mapping principle to Lipschitzian mappings
... the contraction mapping principle, has been studied by numerous authors and numerous generalizations have been obtained by eminent mathematicians based on various contractive ...a mapping satisfying ...
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Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems
... Investigation of the existence and uniqueness of a fixed point of non-self mappings is one of the interesting subjects in fixed point theory. In fact, given nonempty closed subsets A and B of a complete metric space (X, ...
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Existence of common best proximity points of generalized $S$-proximal contractions
... The intention of this article is to provide a solution to a more general problem than the one just explained. Thus, we consider two non-self mappings that are proximally commuting and bring in a concept of ...
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G Contractive Sequential Composite Mapping Theorem in Banach or Probabilistic Banach Space and Application to Prey Predator System and A & H Stock Prices
... Banach space are continuous mappings, so these map- pings are still continuous mappings in probabilistic Ba- nach space ((Lemma 4.3 continuous mapping) of [2]) and the proof of existence of fixed points in Section ...
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Contractive mappings on a premetric space
... Fixed point theorems of sequential mapping with geometric mean contraction and its applications, Preprint..[r] ...
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