Recently, Karapinar and Romaguera (Filomat 27: 1305-1314, 2013) have introduced a new type contraction on partial metric spaces, and they have obtained a nonunique fixed point result. Then Romaguera (Math. Sci. Appl. E-Notes ...

This research contains some recent developments about multivalued weakly Picard operators on complete metric spaces. In addition, taking into account both multivalued theta-contraction and almost contraction on complete ...

In this paper, we introduce and study new fixed point results for nonlinear set-valued theta-contractions. Our results are based on a new approach, which is called set-valued theta-contraction and they extend and generalize ...

In the recent paper (B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for alpha-psi-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the ...

In the present paper, considering a new concept of multivalued almost F-contraction, we give a general class of multivalued weakly Picard operators on complete metric spaces. Also, we give some illustrative examples showing ...

In the present paper, we introduce a new concept of P-contractive mappings on metric spaces. We prove that every ordinary contractive mapping is also P-contractive but the converse may not be true in general. We provide ...

In his recent paper, Wardowski [16] introduced the concept of F-contraction, which is a proper generalization of ordinary contraction on a complete metric space. Then, some generalizations of F-contractions including ...

The concept of partial metric p on a nonempty set X was introduced by Matthews [13] and it was slightly modified by Heckmann [11] as weak partial metric. In [12], the authors studied fixed point result of new extension of ...