@article { author = {Yildirim, Isa}, title = {Fixed Point Results for $F$-Hardy-Rogers Contractions via Mann's Iteration Process in Complete Convex $b$-Metric Spaces}, journal = {Sahand Communications in Mathematical Analysis}, volume = {19}, number = {2}, pages = {15-32}, year = {2022}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2022.528127.929}, abstract = {In this paper, we give a definition of the $F$-Hardy-Rogers contraction of Nadler type by eliminating the conditions $(F3)$ and $(F4)$. And, we obtain some fixed point theorems for such mappings using Mann's iteration process in complete convex $b$-metric spaces. We also give an example in order to support the main results,  which generalize some results in [5,6].}, keywords = {$F$-Hardy-Rogers contraction,Mann's iteration process,Fixed point,Convex $b$-metric space}, url = {https://scma.maragheh.ac.ir/article_251665.html}, eprint = {https://scma.maragheh.ac.ir/article_251665_598b30839852e9f5f5ebf0024378a1e3.pdf} }