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In this note, we study a general version of a problem posed by Feng Qi in  in the context of a measured space endowed with a positive finite measure. For other studies and results, one can consult the papers , , , , , ,  and . Our basic tool is the classical Hölder inequality. By the convexity method (see ) we give an… (More)
In this note, we establish some new integral inequalities by using analytic and elementary methods. These inequalities have some relationships with certain integral inequalities obtained by Feng Qi in . We point out that one of Feng Qi’s result (see ) is the following Theorem A. Let n ≥ 1 be an integer and suppose that f has a continuous derivative of… (More)
By using a fixed point method, we establish the Hyers–Ulam stability and the Hyers–Ulam–Rassias stability for a general class of nonlinear Volterra integral equations in Banach spaces. 2000 Mathematics Subject Classification: Primary 45N05, 47J05, 47N20, 47J99, Secondary 47H99, 45D05, 47H10.
The purpose of this paper is to extend the notion of well-posedness of fixed point problem for a mapping to a hybrid pair of mappings. Also, we prove a general common fixed point theorem for a pair of D-mappings for which the fixed point problem is well posed.
In this paper, we give a formula for the distribution of the sum of n independent random variables with gamma distributions. A formula for such a sum was provided by Mathai (see ) in 1982. But it was complicated. In the paper , Jasiulewicz and Kordecki derived a formula for the particular case of independent random variables having Erlang… (More)
In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a metric space satisfying a weak Meir-Keeler type contractive condition by using a class of implicit relations. In particular, our result generalizes and improves a result of K. Jha, R.P. Pant, S.L. Singh, by removing the assumption of… (More)
In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a (possibly non complete) metric space such that one of them satisfies the property (E.A) under a contractive condition of Lipschitz type. Our result provides a generalization and some improvements to a result obtained by K. Jha, R.P. Pant and… (More)
In 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their results were extended in 2008 by A. Azam and M. Shakeel to the case of three mappings. Recently M. Abbas and D. Dorić employed the contractive conditions introduced in [Q. Zhang and Y. Song, Fixed… (More)
In this note we state some results concerning the perturbation problem of strongly continuous semigroups on a Banach space X and provide some new characterizations of the uniformly continuous semigroups on X.