Date: 11 Jul 2017
Publisher: LAP Lambert Academic Publishing
Language: English
Format: Paperback::144 pages
ISBN10: 3330331674
File size: 39 Mb
Dimension: 154x 224x 15mm::233g
Download Link: A Study of Fixed Point Theorems in Fuzzy Metric Space
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Available for download. Common property (E.A); fixed point; fuzzy metric space; property (E.A); weakly Common fixed point theorems in Menger spaces with common property (E.A). Faculty of Sciences Scientific Studies and Research Series Mathematics and George and Veeramani [1] modify the concept of fuzzy metric spaces introduced Kramosil and Michalek [4], Aamri and Moutawakil [8] generalized the notion of non-compatible mapping in metric space E.A. Property.Continuing the above conceptwe prove some commonfixed point theorem for a pair of weakly compatible maps under E.A. Like property. In this paper, we introduce the concept of fuzzy mappings in Hausdorff fuzzymetric spaces (in the sense of George and Veeramani (Fuzzy Sets Syst.64:395-399, 1994)). We establish the existence of -fuzzyfixed point theorems for fuzzy mappings in Hausdorff fuzzy metric spaces, whichcan be utilized to derive fixed point theorems for multivalued mappings. common fixed point theorems for fuzzy mappings in b-metric space 421 A fuzzy set in X is a function with domain X and values in [0;1], F ( X ) is the collection of all fuzzy sets in X. and vital trust with the study of Kramosil and Michalek [15], who introduced the This paper proves the fixed point theorems on fuzzy metric spaces which fuzzy fixed point fuzzy mappings fuzzy metric spaces Hausdorff fuzzy metric [2] and studied a Hausdorff topology of fuzzy metric spaces. In this paper, inspired the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our results extend/generalize many pre-existing results in literature. SOME FIXED POINT THEOREMS IN FUZZY METRIC SPACE. VYOMESH PANT. Abstract. The aim of the present paper is to extend the study of noncompatible Abstract: The purpose of our paper is to obtain a common fixed point theorem for two pairs of self-mappings of compatible of type (K) in a complete intuitionistic fuzzy Metric space with example. Our result generalized and improves similar other results in metric space and prove common fixed point theorems for weakly compatible maps in dislocated generalized intuitionistic fuzzy metric spaces. 1. Banach contraction principle and studied common fixed points for maps Abstract. The paper concerns our sustained efforts for introduction of V-fuzzy metric spaces and to study their basic topological properties.As an application of this concept, we prove coupled common fixed point theorems for mixed weakly monotone maps in partially ordered V-fuzzy metric spaces.An example quoted in this paper also corroborates fully the main result. fixed point theorem for these mappings in metric linear spaces. His result is a generalization of the fixed point theorem for point-to-set maps of Nadler [4]. Therefore, several fixed point theorems for types of fuzzy contractive mappings have appeared (see, for instance [1,5 9]). In this paper, we state and prove some common fixed point Keywords: Fuzzy metric space, weakly compatible mappings, E.A. Property. 1 Introduction and studied its applications. The theory of fuzzy sets Fixed point theory in fuzzy metric spaces has been developed Grabiec[6]. Ser. Mat. 24,2 (1994), 197-209. Review of Research Caristi's type fixed point theorem and it's equivalent: weak state- ment of Ekeland's variational In this paper we give a fixed point theorem in fuzzy metric spaces, which is of Caristi's type. The aim of the presented paper is to study the fixed point theorems in complete and compact fuzzy metric spaces as improvement of some recent results (M.S. Khan, M. Swaleh, S. Sessa, 1984.)[20]. For this purpose, the condition of the maximum type defined altering distance is used. We prove common fixed point theorem in fuzzy metric spaces in the sense of George and Veeramani. We prove the theory of integral type contraction as an fuzzy metric spaces. Turkoglu [9] gerenelized Junkck common fixed point theorem to intuitionistic fuzzy metric spaces. In this paper, we used E. A. Property in intuitionistic fuzzy metric spaces to prove fixed point theorems for a pair of selfmaps. Kumar, Bhatia and Manro [10] proved common fixed point theorems for weakly maps sa- Institution of Advanced Study in Sc. And Tech., India 8 O. Hadzic and E. Pap, Fixed Point Theory in Probabilistic Metric Space, Kluwer Academic Publishers, fuzzy metric spaces and proved fixed point and common fixed point theorems for fuzzy metric spaces. The aim of this paper is to introduce the new definition of R-fuzzy metric space and establish a fixed point theorem for fuzzy mappings in generalized R-fuzzy metric spaces. General Terms Fuzzy Metric Spaces, Fixed Point Theory Keywords We introduce some new generalization of fixed point theorems in complete metric spaces endowed with -distances via -functions. Our results extend many of known fixed point theorems such as Reich type contraction, Geraghty contraction, Meir-Keeler contraction, and -contraction. In addition, the result and corollaries show that our approach has a constructive attitude and many known and unknown space, We established some other results and prove fixed point theorem in fuzzy metric space. II. Preliminaries 2.1 FUZZY POINTS: A fuzzy set in X is called a fuzzy points iff it takes the value 0 for y X, except one say x X. If its value at x is (0 < 1). We denote this fuzzy point fuzzy contraction mappings in b-metric space and gave sufficient conditions for the existence of -fuzzy fixed point for this class of mappings. The aim of this paper is to obtain -fuzzy fixed point for fuzzy contraction mapping T on a b-metric space under a contractive condition of
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