Inequalities of Hadamard's Type for Lipschitzian Mappings

New Inequalities of Hadamard’s Type for Lipschitzian Mappings

In this paper, we study several new inequalities of Hadamard’s type for Lipschitzian mappings.

On New Inequalities of Hadamard-type for Lipschitzian Mappings and Their Applications

In this paper, we study some new inequalities of Hadamard’s Type for Lipschitzian mappings. some applications are also included.

Mean Lipschitzian Mappings

Lipschitz self mappings of metric spaces appear in many branches of mathematics. In this paper we introduce a modification of the Lipschitz condition which takes into account not only the mapping itself but also the behaviour of a finite number of its iterates. We refer to such mappings as mean Lipschitzian. The study of this new class of mappings seems potentially interesting and leads to some...

Convergence theorems for uniformly quasi-Lipschitzian mappings

On Uniformly Generalized Lipschitzian Mappings

We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric spaces equipped with uniform normal structure which yield corresponding results in respect of semigroup of iterates of a self-mapping as corolla...