[PDF] Top 20 FIXED POINT RESULTS IN NORMED LINEAR SPACE

... [2] Pathak H.K., Cho Y.J., Kang S.M. and Madharia B., compatible mapping of type (C) and Common fixed point theorem of Gregus type, demonstr. Math., 31 (3) 1998, 499-517. [3] Pathak H. K. and Khan M.S., ... See full document

... metric space in many ways. One of them is the notion of cone metric space introduced by Long-Guang et ...Banach space. In 1922, Banach [9] proved fixed point result on contractive type ... See full document

... of fixed point in a fuzzy Banach ...some fixed point results for operators on complete fuzzy metric ...a fixed point on fuzzy metric ...metric space and showed that ... See full document

... the fixed point theorem, and since then several generaliza- tions of this concept have been investigated by various authors, namely, Kirk 19, Baillon 20, Browder 21, 22 and many ...various fixed ... See full document

... metric space (metric-like space) (see [18, 19]) is a generalization of partial metric space (see ...fixed point theorem for set-valued quasi contraction in b-metric ...b-metric space as ... See full document

... fuzzy normed space (11) also some basic definitions and properties of this space, that we will need later in this paper and the definition of three types of fuzzy convergence sequence of ...main ... See full document

... random normed spaces Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean space, the theory of fixed point theory, the theory of ... See full document

... The purpose of the present paper is to extend and generalise the above Theorems 1.1 and 1.2 for two mappings in non-normal cone metric spaces and by removing the requirement of D(T(u, u, ... u), T(v, v, ... v)) <d(u, ... See full document

... In 1964, G¨ahler introduced the notion of 2-normed spaces [1] and extended it to the concept of n-normed spaces [2,3,4] . Other papers dealing with n-metric spaces also gave some important results ... See full document

... fixed point results in the setting of standard b-metric ...fixed point results in the literature in the setting of partially ordered metric spaces can be ...fixed point results for ... See full document

... real space, which has contributed to the study of some areas of computer sciences such as computer graphics, image processing, approximation theory, mathematical morphology, optimization theory ...Lefschetz ... See full document

... the space of all probability distribution functions ...the point x, l − f (x) = lim t → x − f (t) . The space Δ + is partially ordered by the usual pointwise ... See full document

... a point x ∈ X .For further details about IFN space one can see ([4, 7, 8, 12, 13, 16–20, 24, 29–33, ...are linear space, Intuitionistic fuzzy normed space ... See full document

... Example . Let X = R, μ(x, t) = t+|x| t , ν(x, t) =  – t+|x| t for every x ∈ X, and let t > , a ∗ b = min {a, b}, a b = max {a, b} for all a, b ∈ [, ]. Then (X, μ, ν, ∗, ) is a complete intuitionistic fuzzy ... See full document

... fixed point and common fixed point results in the set-up of cone metric ...our results extend the results of Arshad and Ahmad [] and also improve the corresponding results of ... See full document

... metric space. The probabilistic generalization of metric space appears to be well adopted for the investigation of physical quantities and physiological ...Menger space theory was due to Sehgal and ... See full document

... Page | 249 and Jain [8] did lot of work in this field. Very recently in 2012 the Fuzzy Probabilistic Metric Space is used by R. Shrivastav, V. Patel and V. B. Dhagat [7]. By using the work mentioned above we ... See full document

... main results rely on the Dhage iteration principle embodied in a recent hybrid fixed point theorem of Dhage (2013) in the partially ordered normed linear spaces and the numerical ... See full document

... i.e every contraction map on a complete metric space has fixed point. Inequality (1.1) implies continuity of . This theorem is very popular and effective tool in solving existence problems in many ... See full document

... n-normed linear space as a generalization of n-normed space by Gunawan and Mashadi ...a linear space corresponding to the fuzzy norm on a linear ...a linear ... See full document