[PDF] Top 20 Common fixed point theorems for a pair of mappings in complex valued b-metric spaces

... we obtain that |z| = |d(u, Su)| ≤ sλ |z| < |z|, which is a contradiction with (3.8). So |z| = 0. Hence Su = u. Similarly, we obtain that Tu = u. Now, we show that S and T have unique common fixed ... See full document

... contraction mappings generalized metric spaces” using this ...starting point to a point the set of all fixed points of a multifunction operator ...cone metric space by ... See full document

... some common fixed point theorems for a pair of maps un- der contraction involving rational expressions in the setting of complex valued b-metric ... See full document

... prove common fixed point theorems for four weakly compatible mappings which satisfy a rational contractive condition in the complex valued b-metric ...the ... See full document

... proved fixed point theorems for two self-maps under contractive con- dition of integral type in metric ...a pair of weakly compatible mappings satisfying a general contractive ... See full document

... convex metric spaces and common fixed point theorems for a pair of ...unifying fixed point theorems of Ivanov [7], Jungck [8], Das and Naik [3], ... See full document

... any complex valued metric on ...coincidence point and (A, S) are weakly compatible mappings, since they commute at their coincidence point z = ...self mappings of a ... See full document

... metric spaces and established some fixed point results for a pair of mappings for contraction condition satisfying a rational ...of complex valued metric ... See full document

... of complex valued metric spaces and obtained sufficient conditions for the existence of common fixed points of a pair of contractive type mappings involving ... See full document

... of complex-valued metric space and obtained sufficient conditions for the existence of common fixed points of a pair of mappings sat- isfying a contractive-type ...some ... See full document

... the common fixed point of the mappings satisfying a contractive condition on the closed ...the mappings only on a closed ball instead of the whole ... See full document

... (a) λ(TSx, y) = λ(TSx) ≤ λ(x) = λ(x, y) and λ(x, STy) = λ(x) = λ(x, y); μ(TSx, y) = μ(TSx) ≤ μ(x) = μ(x, y) and μ(x, STy) = μ(x) = μ(x, y); γ (TSx, y) = γ (TSx) ≤ γ (x) = γ (x, y) and γ (x, STy) = γ (x) = γ (x, y); ... See full document

... studied complex valued metric spaces wherein some fixed point theorems for mappings satisfying a rational inequality were ...define complex valued ... See full document

... a metric space was essentially carried out by French mathematician Frechet in the year ...of metric spaces in the natural growth of Functional Analysis is ...rectangular metric spaces, ... See full document

... hand, fixed-point theory has developed rapidly in metric spaces endowed with a partial ...nondecreasing mappings and applied it to obtain a unique solution for a first-order ordinary ... See full document

... space- valued cone metric spaces which are generalize of the results [15] and ...obtained common fixed point of a pair of mappings satiasfying a generalized ... See full document

... influential spaces is complex valued b-metric spaces, introduced by Rao ...the complex valued metric spaces ...some fixed point results ... See full document

... Fixed point theory plays one of the important roles in nonlinear ...famous fixed point theorem for contractive mappings in complete metric ...with b-metrics which ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document

... new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction ...single-valued ... See full document