Complete b-Metric Space.
Cyclic compatible contraction and related fixed point theorems
... a complete b-metric space and A, B be non-empty closed sub- sets of (X, ...∪ B to A ∪ B such that the range of T contains the range of ...
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Common fixed point results for generalized contraction mappings in b - metric space
... In this paper, we establish and prove common fixed point results for generalized rational mapping satisfying a general contractive condition in complete b- metric spaces. The conditions for existence ...
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Basic inequality on a b metric space and its applications
... As a direct consequence, we obtain a generalization of Nadler’s fixed point theorem []. Corollary Let (X, d) be a complete b-metric space and let T be a mapping from X into CB(X). Assume ...
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Fixed point results for fuzzy mappings in a b-metric space
... In this paper, we obtain a fixed point and a common fixed point for fuzzy mappings for a generalized contraction on a closed ball in a complete b-metric space. An example which supports the ...
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Common Fixed Point Theorems of Gregus Type in a Complete Metric Space
... a complete linear metric space (X, d) and T : K → K a mapping that satisfies d(T x, T y) ≤ ad(x, y) + bd(x, T x) + cd(y, T y) + ed(y, T x) + f d(x, T y) for all x, y ∈ K where 0 < a < 1, ...
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UNIQUE FIXED POINT THEOREMS IN COMPLETE METRIC SPACE
... to Complete Metric Space, in which the fixed point theorems in A Meir Emmatt [4], Brouwer [5], Caccioppoli [8] and Dolhare U P [1,2,3] as a special ...a complete Metric Space has ...
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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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Vol 7, No 10 (2016)
... © 2016, IJMA. All Rights Reserved 145 Definitions of interior point, limit point, open and closed sets, Hausdorff topology on X, the convergent sequence, Cauchy sequence and complete complex-valued metric ...
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Some Common Fixed Point Theorems In Complete Metric Space via Weakly Commuting Mappings
... Shin-Sen Chang[2], S. Sessa & B. Fisher[13] proved some common fixed point theorems for commuting mapping generalizing the Banach contraction principle[7] also Sessa[9] used the notation of Weakly commuting ...
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Generalized Contraction Mapping and Fixed Point Theorems in Complete Metric Space
... a complete Metric Space has a unique fixed point ...in complete metric space which include some fixed point results in Banach [ 5 ], Cric ...in complete metric ...
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Best proximity point theorems with Suzuki distances
... Hence p(x, x ∗ ) = and this completes the proof of the theorem. The next result is an immediate consequence of Theorem . by taking A = B and p = d. Corollary . (Banach’s contraction principle) Let (X, d) ...
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Common fixed point results in function weighted metric spaces
... first metric fixed point results in the setting of complete normed ...of complete metric ...modular metric space, symmetric space, semi-metric space, ...
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Random fixed point theorems for multi valued contraction mappings in complete metric space
... “In this paper the concept of contraction mapping for multi-valued maps in complete metric space is introduced. The point to set map is also called multi-valued (multifunction) which guarantees the ...
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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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Coupled Fixed Point Theorems in Vector b-metric Space
... in metric similar to vectorial convergence when E ...valued metric and Z E then concepts of convergence in order and vectorial convergence ...vector metric space Z is a vector ...
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Geodesics on Generalized Plane Wave Manifolds
... Differential geometry studies geometric properties of objects by applying the techniques of calculus. We focus on a branch of differential geometry called pseudo- Riemannian geometry (sometimes referred to as ...
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Implementation Of Soft Fixed Point Theorems With B-Metric Space
... The concept of soft sets was first given by Molodtsov [1] soft sets was new mathematical idea to solve problems. Molodtsov[1] defines soft set as a parameterized family of subsets of whole set where each element is ...
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A-Contractions Relative To A Weak S-Metric And Common Fixed Point Theorems
... Suppose ( , ) is a complete S-metric space and {f } is a sequence of self maps of X such that there is an ∈ A for which (2.18)’ S(f x, f x, f y) ≤ α(S(x, x, y), S(f x, f x, x), S f y, f y, y ) holds ...
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Vol 3, No 1 (2012)
... fuzzy metric space in different ...fuzzy metric space by generalizing the concept of probabilistic metric space to fuzzy ...fuzzy metric space introduced by ...
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Common fixed point results on an extended b metric space
... In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems ...
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