[PDF] Top 20 Generalized Caristi's Fixed Point Theorems

... Caristi’s fixed point theorem. It is well known that Caristi’s fixed point theorem is equivalent to Ekland variational principle 1, which is nowadays an important tool in nonlinear ...and ... See full document

... of fixed points of Caristi-type mappings motivated by a problem stated by ...existence theorems of maximal and minimal points are ...some generalized Caristi’s fixed point ... See full document

... Consequently, some special cases are discussed and an interesting example is also provided. Presented results are generalizations of the important results due to Ume (Fixed Point Theory Appl 2010(397150), ... See full document

... map S take, e.g., x 25/100, y 51/100. However, S and T satisfy all the assumptions of Theorem ...coincidence point, namely, 0 which is the unique common fixed point of S and ... See full document

... Deshpande, S. Sharma, and A. Handa, Common coupled …xed point theorems for nonlinear contractive condition on intuitionistic fuzzy metric spaces with application to integral equations, Journal of the ... See full document

... In this paper, we obtain the existence and uniqueness of the solution for three self map- pings in a complete bipolar metric space under a new Caristi type contraction with an example. Also, we provide some ... See full document

... Theorem 1. Let (Ω, d) be a complete metric space and φ : X → R be a lower semi - continuous and bounded bellow function. Let ℑ : Ω → Ω be a Caristi type mapping on Ω dominated by φ (i.e., ℑ satisfies d(η, ℑη) ≤ ... See full document

... Fixed point theory in CAT(0) spaces was first studied by Kirk ...a fixed point. Since then the fixed point theory for single-valued and multivalued mappings in CAT(0) spaces has ... See full document

... applications. Fixed point theorems in fuzzy mathematics are emerging with vigorous hope and vital ...develop fixed point theorems for contractive type ...proved fixed ... See full document

... F (p T f u, Tu ) ≤ β F p Tu, T f u . (14) The inequality (14) is contradiction unless p Tu, T f u = 0. Thus, Tu = T f u. Also, T is one to one, we obtain f u = u. Thus we provide u ∈ X is a fixed point of f ... See full document

... new generalized metric spaces and extend some well-known related fixed point theorems that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, ... See full document

... of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point ... See full document

... fixed point theorem for a mapping under the contractive condition in a complete Menger ...fixed point theorems, we first introduce a new concept of contraction in PGM- spaces, which is a corresponding ... See full document

... various fixed point theorems and obtained a lot of perfect ...some fixed point results for generalized cyclic contraction on partial metric ...type fixed point ... See full document

... fixed point and proved some fixed point theorems under certain ...fixed point and proved some related the- ...and generalized by several authors in the last years; see [–] and the ... See full document

... fixed point theorem for uniformly Lips- chitzian semigroup in a Hilbert ...[21] generalized the result of Mizoguchi and Takahashi [14] to a Banach space setting and, also, proved a new fixed point ... See full document

... Recently, in [], the authors used the notion of a cone metric space to generalize the Banach contraction principle to the case of cone metric spaces. Since then, many authors [–, , , , , , –, –, , ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int.. Ćirić, Generalized contractions and fixed-point theorems, Publ.[r] ... See full document

... further generalized by several authors like Dutta and Choudhury [16], Popescu [28], Choudhury and Kundu [9] ...the fixed point theory in metric and cone metric ... See full document

... As another example to the first approach mentioned above, Zand and Nezhad [] re- cently introduced GP-metric spaces which are a combination of the notions of partial metric spaces and G-metric spaces. Then they proved a ... See full document