فهرست مطالب

Journal of Linear and Topological Algebra
Volume:6 Issue: 4, Autumn 2017

  • تاریخ انتشار: 1396/09/10
  • تعداد عناوین: 6
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  • On some open problems in cone metric space over Banach algebra
    A. Ahmed *, Z. D. Mitrovic, J. N. Salunke Pages 261-267
    In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. and Engg. Appl. (6) (2012), 129-136].
    Keywords: Cone metric space over Banach algebra, fixed points, Lipschitz mapping, c-sequence
    Abstract View Paper Research/Original Article Original: English
  • A fixed point method for proving the stability of ring $(alpha, beta, gamma)$-derivations in $2$-Banach algebras
    M. Eshaghi Gordji, S. Abbaszadeh * Pages 269-276
    In this paper, we first present the new concept of $2$-normed algebra. We investigate the structure of this algebra and give some examples. Then we apply a fixed point theorem to prove the stability and hyperstability of $(alpha, beta, gamma)$-derivations in $2$-Banach algebras.
    Keywords: Fixed point theorem, $2$-normed algebras, $(alpha, beta, gamma)$-derivations, hyperstability
    Abstract View Paper Research/Original Article Original: English
  • A solution of nonlinear fractional random differential equation via random fixed point technique
    R. A. Rashwan, H. A. Hammad * Pages 277-287
    In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.
    Keywords: Random fixed point, F-contraction, separable metric spaces, NFRDE
    Abstract View Paper Research/Original Article Original: English
  • Common best proximity points for $(psi-phi)$-generalized weak proximal contraction type mappings
    K. K. M. Sarma *, G. Yohannes Pages 289-300
    In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.
    Keywords: Best proximity point, common best proximity points, (ψ − ϕ)-generalized proximal contraction, lower semi continuous functions
    Abstract View Paper Research/Original Article Original: English
  • Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
    S. K. Mohanta *, S. Patra Pages 301-321
    In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.
    Keywords: b-metric, digraph, weakly compatible mappings, Common fixed point
    Abstract View Paper Research/Original Article Original: English
  • Fixed points of weak $psi$-quasi contractions in generalized metric spaces
    K. P. R. Sastry, G. V. R. Babu, P. S. Kumar * Pages 323-329
    In this paper, we introduce the notion of weak $psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in support of our main result.
    Keywords: Generalized metric space, weak $psi$-quasi contraction, fixed point
    Abstract View Paper Research/Original Article Original: English