Taking into account nonunique fixed point and periodic point results of Ciric (Institut Mathematique 17, 52-58, 1974) and best proximity point results in the literature, we introduce the concept of proximal nonunique ...

In this paper, we first give a new definition of Omega-Dedekind complete Riesz space (E, <=) in the frame of vector metric space (Omega, rho, E) and we investigate the relation between Dedekind complete Riesz space and our ...

In this paper, we first introduce a new concept of Q-function on partial metric spaces. Also, we give a new definition of (alpha,phi,q)-contractive mapping by considering the new kind of Q-function. Then we obtain some ...

In this paper, we present two main results about best proximity points for multivalued mappings. First, taking into account Klim and Wardowski's approach in fixed-point theory, we obtain a new result for multivalued mappings ...

In the current paper, we first introduce a new class of contractions via a new notion called p-cyclic contraction mapping by combining the ideas of cyclic contraction mapping and p-contraction mapping. Then, we give a new ...

In 1976, Caristi fixed point theorem was proved for ordinary metric spaces. After that, it was shown that this result is equivalent to Ekeland variational principle which has a great number of applications in many branches ...

In this paper, considering an order relation on a vector metric space which is introduced by Cevik and Altun in 2009, we present some fundamental fixed point results. Then, we provide some nontrivial examples show that the ...

In this article, by considering Feng-Liu's technique, we present new fixed point results for multivalued mappings which are regarding to F-contraction on M-complete M-metric space. Then, we provide some nontrivial examples ...