Fixed point theorems for Mönch type maps and applications

The matter of fixed point theory is a quite extensive issue in terms of theory and application, in which several theorems and proposals have been invalued. In this study, the article published by D. O'Regan and R. Precup where the theorems of existence are introduced for integral inclusionsand fixed point theorems regarding the set valued mappings has been depply and in detail stuided.Here, single valued mappings and set(multipple) mappings fixed point theorems on Mönch Type mappings have been mentioned. Therefore, the relationship of Mönch, who presented the generalization of the fixed point theorems beloging to Schauder, Darbo and sadovskii, has been slightly discussed ove, with these theorems, the general existence theorems of Hammerstein and Volterra integral inclusions as the application of Mönch's theorems have been proved,Finally, the concept of Chandrabhan type mapping and fixed point theorems, which could be regarded as the generalization of Mönch, using from the article published by B. C. Dhage has been examined.