Generalization of the Banach contraction principle

By Maher Berzig. 2013

96 citations recorded by the source corpus.

We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle. An example is provided to illustrate our result.

Subfields: Applied Mathematics, Computational Mechanics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c27be4dfb272c849ba3ecf307707b3934091f2df

Citations in the corpus

• Non-Unique Fixed Point Results in Extended B-Metric Space (2018, unknown): “[11] Suppose that the pair (X, dθ) is an extended-bMS For a self-mapping T : X → X, for each ξ ∈ X and n ∈ N, we define O(ξ; n) = {ξ, Tξ, .”