Generalized weak contractions with control functions on metric and normed interval spaces

In this paper, we discuss some near-fixed point theorems with control functions for mappings that are specifically generalized weakly contraction in metric and normed interval spaces. We prove the existence and uniqueness of near-fixed points and common near-fixed points for these mappings. Moreover, we provide some examples to demonstrate the validity of our extensions.

کلیدواژه ها:

Alternating distance functions ، Contractive mappings ، Metric interval spaces ، Near fixed points ، Normed interval spaces ، null set