@article{Safari-Hafshejani2024, 
author = {A. Safari-Hafshejani and M. Gabeleh and M. De la Sen},
title = {Optimal pair of fixed points for a new class of noncyclic mappings under a    (  φ  ,            R        t    )-enriched contraction condition},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {4},
pages = {2251-2266},
keywords = {optimal pair of fixed points, noncyclic (φ, Rt)-enriched quasi-contraction, metric space, transitive relation, reflexive Banach space},
url = {https://www.sciopen.com/article/10.3934/era.2024102},
doi = {10.3934/era.2024102},
abstract = {In the present study, we commenced by presenting a new class of maps, termed noncyclic    (  φ  ,            R        t    )-enriched quasi-contractions within metric spaces equipped with a transitive relation              R        t  . Subsequently, we identified the conditions for the existence of an optimal pair of fixed points pertaining to these mappings, thereby extending and refining a selection of contemporary findings documented in some articles. Specifically, our analysis will encompass the outcomes pertinent to reflexive and strictly convex Banach spaces.}
}