Fixed Point Results for F-Hardy-Rogers Contractions via Mann's Iteration Process in Complete Convex b-Metric Spaces

In this paper, we give a definition of the F-Hardy-Rogers contraction of Nadler type by eliminating the conditions (F۳) and (F۴). 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 [۵,۶].

کلیدواژه ها:

F-Hardy-Rogers contraction ، Mann's iteration process ، Fixed point ، Convex b-metric space