[PDF] Top 20 1. Modified generalized weakly contractive and $F$-contraction mappings with fixed point results

... The results of the current paper can be extended to generating space of a b-quasi-metric family which was introduced by ...common fixed points of two cyclic ... See full document

... single-valued mappings [] was extended in [] to the setting of a single-valued mapping and a multi-valued mapping on a metric ...further generalized by different authors, viz weakly commuting ... See full document

... common fixed point theorem for six self mappings in modular metric space for occasionally weakly compatible mappings has been establish, which improves and extends similar known ... See full document

... and fixed point theorems for mappings satisfying generalized weakly contractive conditions on the setting of ordered gauge ...obtained results to the study of existence ... See full document

... multivalued weakly contractive maps and applying generalized Caristis fixed point theorems he proved several fixed point results for such maps in the setting of ... See full document

... Fixed point theory is one of the core research areas in nonlinear functional analysis since it has a broad range of application potential in various fields such as engineering, eco- nomics, computer science, ... See full document

... a 1 and a 2 are non-negative reals with 0 ≤ a 1 + a 2 < ...coincidence point. Moreover, if the pairs (S, P) and (T, Q) are weakly compatible, then there exists a unique common fixed ... See full document

... of fixed points for two set-valued mappings and two single-valued mappings satisfying generalized contractive conditions by using the concept of weakly compatible mappings ... See full document

... and so Tz is a fixed point of S. By the uniqueness of a fixed point of S, Tz = z. Remark 2.1 If we have ϕ = 0, then ψ is nondecreasing and continuous, and φ is contin- uous in Theorem 2.1 (resp. Corollary ... See full document

... actions generalized the b-metric spaces(see [2], [3], ...basic fixed point theo- rems for self-map with contractive condition in C ∗ algebras-valued b-metric ...and generalized the ... See full document

... a generalized metric space where the triangle inequality of a metric space was replaced by an inequality involving three terms instead of ...a generalized metric space, but the converse is not true ...fixed ... See full document

... X f z = T z = gz. Thus, by Lemma 3.2 and (v), T f z = f T z and gT z = T ...T f z = f T z = f f z = f gz = gf z = ggz = gT z = T ...that f z = gf z. Thus, ... See full document

... fixed point and coincidence point for three self-mappings T, S, and R satisfying (ψ , ϕ)-weakly contractive condition in an ordered metric space (X, d), where S and T are weakly ... See full document

... pointwise contraction type mappings con- tains the class of an asymptotic pointwise contraction mappings, but the converse is not true ...nonempty weakly compact subset of a Banach ... See full document

... other results, the underlying space is more general, see ...ing fixed point theory for set-valued contractions, see ...of fixed point theorems not mentioned above extending the Banach’s ... See full document

... Remark 2.1. (i) Theorem 2.1 is a generalization of Theorem 2.2 [10] with correction in the proof. The part of proof showing that the limit of the sequence of iterations is a random fixed point of the random ... See full document

... Banach’s contraction principle is one of very important theorems has been generalized in various ...weak contraction has introduced by guerre delabre in hilbert space [1], Rhoeds extend this ... See full document

... the results of b-metric spaces that generalized the famous Banach contraction principle in metric ...Banach fixed point theorem in the b-metric ...the fixed point theorem ... See full document

... fixed point theory has been an active research field over the last nine ...Banach contraction principle [] is the first im- portant result on fixed points for contractive-type ...fixed point ... See full document

... common fixed point theorem for multi-valued and single-valued mappings in a metric ...use weakly compatibility and -weak contractivity condition with no continuity ...previous results ... See full document