Some fixed point theorems regarding the picard iteration for various contractive type mappings

In general, in this study, fixed point results in metric space for multivalued contractions are examined by means of weak Picard operators. In the first part of this study, the basic definitions and theorems to be used in the study are given. In the second part, certain fixed point theorems, which are considered fundamental for multivalued contractions, and fixed-point theorems obtained by means of multivalued nonlinear almost contraction are examined in detail. Moreover, the relationships between multivalued almost contractions and multivalued weak Picard contractions are mentioned. In the third chapter, multivalued nonlinear θ-contraction is mentioned and fixed point results are obtained and supported with an example. In the last section, recommendations and conclusions are given