[PDF] Top 20 Fixed point theorems for weakly contractive mappings in partially ordered metric-like spaces

... Weakly contractive mappings and mappings satisfying other weak contractive inequali- ties have been discussed in several works, some of which are noted in ...Hilbert spaces [] ... See full document

... generalized weakly contractive mappings in metric spaces and prove a fixed point theorem for generalized weakly contractive mappings defined on complete ... See full document

... coupled fixed point of a mapping F : X × X → X wherein (X, , d) be a partial metric space and also proved some coupled fixed point theorems in partially ordered ... See full document

... In fact, Khan et al. 1 proved a more general theorem of which the above result is a corollary. Another generalization of the contraction principle was suggested by Alber and Guerre-Delabriere 2 in Hilbert Spaces ... See full document

... proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...proximity point in the setting of partially ordered metric spaces has been considered in ... See full document

... and fixed point theorems for mappings satisfying generalized weakly contractive conditions on the setting of ordered gauge ...Presented theorems extend and ... See full document

... By assumption, (X , d) is bicomplete, hence (X , d s ) is complete. Moreover, since E and RE are join closed, we conclude by Theorem 2.14 that T, R and S have a unique common fixed point. Theorem 3.3. Let ... See full document

... common fixed points of four maps satisfying generalized weak contractive conditions in the fra- mework of complete partial metric spaces endowed with a partial ... See full document

... In , the Banach contraction principle were extended to metric space endowed with partial order by Ran and Reuring []. They pointed out that the contractivity condition on the nonlinear and monotone map is ... See full document

... fixed point theory is the Banach- Caccioppoli contraction [] mapping principle, a power tool in ...different spaces by mathematicians over the years (see [–] and references mentioned ...fixed point ... See full document

... a partially ordered set and suppose that there exists a metric d on X such that the metric space (X, d) is ...strictly weakly increasing mappings which satisfy (1) with respect ... See full document

... coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with ...common fixed ... See full document

... complete metric space. If f , g : X → X are generalized ϕ -weakly contractive mappings, then there exists a unique point u ∈ X such that u = fu = ... 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

... Theorem . Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Let F : X × X → X be a mapping such that F has the mixed ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...coincidence theorems for monotone mappings in ... See full document

... partial metric p : X × X → [, +∞) defined by p(x, y) = max {x, ...partial metric space (X, p) is com- plete. Also, define the mappings f , g : X → X by fx = x   and gx = x   , ... See full document

... coupled fixed point results in (ordered) metric spaces to the respective results for mappings with one variable, even obtaining more general ...coupled fixed point ... See full document

... common fixed point theorems for a pair of mappings with the mixed weakly monotone property in a partially ordered metric ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document