[PDF] Top 20 The class Φα of auxiliary functions and fixed point in G-metric space
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The class Φα of auxiliary functions and fixed point in G-metric space
... Several fixed point theorems in metric space setting have been proved through contraction type conditions involving different types of auxiliary functions... The notion of contractive mo[r] ... See full document
17
Fixed point theorems under weakly contractive conditions via auxiliary functions in ordered $G$-metric spaces
... D–metric space are incorrect. To address the problem of structure of D– metric spaces, ...new class metric spaces known as G–metric spaces. In a G–metric ... See full document
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Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
... 2-metric space introduced by G¨ahler see 1, 2 as a generalization of usual notion of metric space X, ...two functions, for instance, Ha et al. in 3 show that 2-metric need ... See full document
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Vol 5, No 3 (2014)
... 2-metric space akin to the metric space (X, ...two functions. For instance, Ha et al. in [5] showed that 2-metric need not be continuous ...new class of generalized ... See full document
7
1. Fixed Point Results For Complete Dislocated $G_d$-metric Space Via $C$-Class Functions
... It is clear from above cases, the contractive condition of Theorem 2.1 holds and similarly for other cases. Therefore, 0 ∈ X, is a fixed point for T, such that T 0 = 0. In Theorem 2.1, W (a, b, c) contains ... See full document
11
Cyclic contractions via auxiliary functions on G-metric spaces
... fixed point theory, which mainly concerns the existence and uniqueness of fixed points, is today’s one of the most investigated research areas as a ma- jor subfield of nonlinear functional ...fixed point in a ... See full document
16
Fixed point theorems on b metric spaces for weak contractions with auxiliary functions
... Example . ([]) Let X = {a, b, c} and d: X × X → R be defined by d(x, x) = for x ∈ X, d(a, b) = d(b, c) = , d(a, c) = , d(x, y) = d(y, x) for x, y ∈ X. It is easy to check that (X, d) is a b-metric ... See full document
17
Fixed Points under ψ-α-β Conditions in Ordered Partial Metric Spaces
... [Fixed point theorems via auxiliary functions, ...obtained fixed point results for increasing mappings in a partially ordered metric space using three ... See full document
11
A note on common fixed points for (ψ,α,β)-weakly contractive mappings in generalized metric spaces
... (Fixed Point Theory Appl. 2013:131, 2013) proved a common fixed point theorem in a rectangular metric space by using three auxiliary distance ... See full document
6
Quadrupled fixed point in g-metric space with an application
... In 1992, B.C. Dhage introduced a new class of generalized metric space called D-metric spaces (see [7]). In a subsequent series of papers, Dhage attempted to develop topological structures in ... See full document
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Common fixed point of g-approximative multivalued mapping in ordered partial metric space
... introduce g-approximative multivalued mappings to a partial metric ...fixed point results for g-approximative multivalued mappings satisfying generalized contractive conditions are obtained in ... See full document
14
Fixed point theorems for set-valued quasi-contraction maps in a G-metric space
... D-metric space was introduced in 1992 by Dhage [2] as an attempt to generalize the existing metric space ...D-metric space, annulling the validity of the majority of results that ... See full document
18
Fixed Point Theorem for Quadruple Self-Mappings in Digital Metric Spacen
... Fixed point theory has applications in field of mathematics, computer science, engineering, game theory, fuzzy theory, image processing and so ...In metric space it begins with the Banach ... See full document
8
Fw-contractions in a complete G-metric space
... lnα , α > 0, F(α ) < lnα + α = H(α ) for all α > 0 and H − F is non decreasing, therefore, by Remark 1.18, T is a H w -contraction and hence satisfies (1.2). In the following example we shall present a mapping T ... See full document
10
Pseudo-metric space and fixed point theorem
... Hence, the aim of this paper is to generalize some of the well-known fixed point the- orems [, –] for a pseudo-metric space X. This paper is divided into three sections after showing some basic ... See full document
18
Some applications via common quadruple fixed point theorems in G-metric spaces
... quadruple fixed point of R, T, S, g, f and ...quadruple fixed point in P ...quadruple fixed point (α 0 , β 0 , γ 0 , ω 0 ) of R, S, T, g, h, f ... See full document
30
Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction
... In the present paper, we introduce the notion of integral type contractive mapping with respect to ordered S-metric space and prove some coupled common fixed point results of integral type ... See full document
14
On metric-preserving functions and fixed point theorems
... 9. Doboš, J: On modification of the Euclidean metric on reals. Tatra Mt. Math. Publ. 8, 51-54 (1996) 10. Doboš, J: A survey of metric-preserving functions. Quest. Answ. Gen. Topol. 13, 129-133 (1995) ... See full document
14
Random Fixed Point TheoremsIn Metric Space
... Fixed point theory is one of the most dynamic research subjects in nonlinear ...complete metric space has a unique fixed ...desired fixed point by offering a smart and ... See full document
9
Common Fixed Point Theorem for Six Selfmaps of a Complete G Metric Space
... of fixed point theory has been at the centre of vigorous activity and it has a wide range of applications in applied mathematics and ...of fixed point theory have executed by several ... See full document
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