[PDF] Top 20 Some fixed point theorems via generalized c-distance in ordered cone metric spaces

... partially ordered set and suppose that (X ,d) is a complete cone metric ...a generalized c-distance of order j on X and f : X → X be a continuous and nondecreasing mapping with ... See full document

... a generalized c-distance in ordered cone b-metric spaces and, by using the concept, we prove some fixed point theorems in ordered ... See full document

... celebrated fixed point theorem ...terward, some various definitions of contractive mappings were introduced by other researchers and several fixed and common fixed point theo- ... See full document

... of cone metric space was introduced by Haung and Zhang [8], replacing the set of real numbers by an ordered Banach ...considered fixed point theory in cone metric ... See full document

... of cone metric spaces over Banach algebras was previously introduced by Liu and Xu in ...proved some fixed point theorems of generalized Lipschitz mappings with weaker ... See full document

... of ordered topological vector spaces, normal cones and topical functions in optimization theory have generated a lot of interest and research in ordered topological vector spaces ...introduced ... See full document

... x) c for some x in X . A cone metric space X is said to be complete if every Cauchy sequence in X is convergent in X ...a cone metric space,E be a real Banach space and ... See full document

... of c-distance in cone metric space has been introduced recently in ...of fixed point theory have been proved by different authors using ...generalize some coupled ... See full document

... Hilbert spaces [1]. It was subsequently ex- tended to metric spaces by Rhoades [30] and further generalized by several authors like Dutta and Choudhury [16], Popescu [28], Choudhury and Kundu ... See full document

... modular metric space, being a natural generalization of classical modulars over linear spaces, was recently ...a generalized F-contraction in modular metric space and investigate the existence ... See full document

... prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric ...of cone ... See full document

... Proinov [] established two general theorems for equivalence between the Meir-Keeler type contractive conditions (.) and the contractive conditions involving gauge functions (.). Indeed, Theorem . in Proinov ... See full document

... 1 generalized the concept of metric spaces by considering vector-valued metrics cone metrics with values in an ordered real Banach ...proved some fixed point ... See full document

... of metric space by replacing the set of real numbers by ordered normed spaces, defined a cone metric space and proved some fixed point theorems of ... See full document

... proved some fixed point theorems on cone metric ...of cone metric spaces by replacing the contractive constant by a vector of ...their fixed ... See full document

... of generalized metric spaces, Mustafa and Sim (6,7) introduced the concept of G- metric ...several fixed point theorems satisfying different contractive ...of cone ... See full document

... of cone metric spaces by replacing the set of real numbers with an ordered Banach space, for more details; see [4] and the references ...many fixed point results concerning self ... See full document

... coupled fixed point of a map- pings F : X × X → X and investigated some fixed point theorems in partially ordered ...in cone metric ...common fixed ... See full document

... a metric space. They give examples of w-distance and improved Caristi ’ s fixed point theorem, Eke- land ’ s ε -variational ’ s principle and the nonconvex minimization theorem according to ... See full document

... metric space with a metric d and usual order ≤. Clearly, condition (B) holds in X . We define p : X × X → [, ∞) by p(x, y) = y. Let φ(t) =   t and ψ (t) =   t. Assume that T : X → X by T x =  x for ... See full document