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

نویسندگان
Sharifi, Marzieh ID 1
Modarres Mosadegh, Sayed Mohamad Sadegh ID 2

1 Department of Mathematical Sciences, Yazd University, Yazd, Iran

2 Department of Mathematical Sciences, Yazd University, Yazd, Iran

doi
10.22075/ijnaa.2024.32330.4802
چکیده

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.

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