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Information Journal Paper

Title

Some fixed point theorems in C^*-algebra valued b-metric spaces

Pages

  99-106

Abstract

 In this paper, we first define the notions of orbitally continuous and orbitally complete on a C*-algebra-valued metric space. We show that if T is an orbitally continuous mapping on a C*-algebra-valued metric space (X, A, d), where X is a nonempty set and A is a C*-algebra with the relation ⪯ and if T orbitally complete and satisfies some conditions, then for any x∈ X the iterated sequence {Tn (x)} converges to a fixed point of T. Also, we prove that an orbitally continuous mapping on a C*-algebra-valued metric space (X, A, d) under conditions has a periodic point. It is prove that an orbitally continuous self-map on a C*-algebra-valued b-metric space (X, A, d) under which conditions has at least a fixed point. In additions, if (X, A, d) be a complete C*-algebra-valued metric space and T has some property. Then T has a fixed point in X provided that there exists x0∈ X such that T2 (x0)≠ x.

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    • Cite

    APA: Copy

    GHORBANI, ZAHRA, & baradaran, javad. (2022). Some fixed point theorems in C^*-algebra valued b-metric spaces. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(27 ), 99-106. SID. https://sid.ir/paper/952097/en

    Vancouver: Copy

    GHORBANI ZAHRA, baradaran javad. Some fixed point theorems in C^*-algebra valued b-metric spaces. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2022;6(27 ):99-106. Available from: https://sid.ir/paper/952097/en

    IEEE: Copy

    ZAHRA GHORBANI, and javad baradaran, “Some fixed point theorems in C^*-algebra valued b-metric spaces,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 27 , pp. 99–106, 2022, [Online]. Available: https://sid.ir/paper/952097/en

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