Browsing by Author "Ramaswamy, R"

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    Ulam-Hyers Stability and Well-Posedness of Fixed Point Problems in C*-Algebra Valued Bipolar b-Metric Spaces
    Kumar, M; Kumar, P; Mutlu, A; Ramaswamy, R; Abdelnaby, OAA; Radenovic, S
    Here, we shall introduce the new notion of C*-algebra valued bipolar b-metric spaces as a generalization of usual metric spaces, C*-algebra valued metric space, b-metric spaces. In the above-mentioned spaces, we shall define (a(U)-?(U)) contractions and prove some fixed point theorems for these contractions. Some existing results from the literature are also proved by using our main results. As an application Ulam-Hyers stability and well-posedness of fixed point problems are also discussed. Some examples are also given to illustrate our results.