In this paper, we prove the existence of fixed point for Chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. The main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.

In this paper, we will establish some xed point results for two pairs of self mappings satisfying generalized contractive condition by using a new concept as weak subsequential continuity with compatibility of type (E) in metric spaces, as an application the existence of unique common solution for a system of functional equations arising in system programming is proved.

In this paper, we studied a new class of nonspreading-type mappings more general than the strictly pseudononspreading and generalized nonspreading mappings. We state prove some strong convergence theorems Mann-type Ishikawa-type algorithms for approximating fixed points our in Hadamard spaces.

In this article, the existence and uniqueness of a fixed point were investigated using concept σ , γ -contractive in context Hausdorff metric space. A well-known Caristi type is primarily generalized by new results. The result improve...

in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnish suitable illustrative examples.in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnis...

In this paper, we first introduce a class of nonlinear mappings called extended hybrid in a Hilbert space containing the class of generalized hybrid mappings. The class is different from the class of super hybrid mappings which was defined by Kocourek, Takahashi and Yao [12]. We prove a fixed point theorem for generalized hybrid nonself-mapping in a Hilbert space. Next, we prove a nonlinear erg...

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the concept of generalized continuity and become familiar with weak and strong structures for generalized topological spaces. Then, int...

As other authors have been very interested in the topic of fixed points, we obtained some results this study that emphasize importance point theory. Kannan described a more general contraction than Banach took its name and later Reich generalized further metric spaces. In paper, introduced new contractions called type γ-contraction which are generalization for non-Archimedean fuzzy We presented...

In this paper, coupled xed point results of Bhaskar-Lakshmikantham type [T. Gnana Bhaskar, V.Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, NonlinearAnalysis 65 (2006) 1379-1393] are extend, generalized, unify and improved by using monotonemappings instead mappings with mixed monotone property. Also, an example is given to supportthese improvements.