[PDF] Top 20 Complex valued b-metric spaces and fixed point theorems

... In 1922, Banach [2] proved contraction principle which provides a technique for solving exis- tence problems in many branches of mathematics such as mathematical analysis, computer sci- ences and engineering. ... See full document

... these spaces called Complex-valued b-metric ...complete complex valued b-metric ...the complex valued b-metric ...obtained ... See full document

... The fixed point theorem introduced by Banach in [4], was the source of metric fixed point theory in the field of Nonlinear ...of b- metric space as a generalization of ... See full document

... common fixed point theorems for two single-valued mappings satisfying rational ex- pressions in complex valued b-metric ... 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

... rectangular metric spaces, semi metric spaces, quasi metric spaces, quasi semi metric spaces, pseudo metric spaces, probabilistic met- ric ... See full document

... (cone) metric space. In 1989, Bakhtin [2] introduced the concept of a b-metric space which is another generalization of the ordinary metric ...in b-metric spaces ...of ... See full document

... fixed point theorems in C ∗ -algebra-valued b-metric ...fixed point theorems for the mapping with different contractive conditions on such ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... common fixed point theorem with six maps in complex valued metric ...common fixed point theorem for six maps in complex valued metric spaces ... See full document

... type fixed point theorems for a new type of generalized contractive conditions on partial Hausdorff metric ...Hausdorff metric spaces and on Hausdorff metric-like ...above ... See full document

... -algebra- valued metric space is satisfied. Thus a C ∗ -algebra-valued b-metric space is an ordinary C ∗ -algebra-valued metric ...-algebra-valued ... See full document

... of metric space by replacing the set of real numbers by ordered Banach space and defined cone metric space and extended Banach type fixed point theorems for contractive type ...cone ... See full document

... of metric spaces, although the name “metric” is due to Housdorff ...introduced metric spaces in which an ordered vector spaces used as the co domain of a metric instead of ... See full document

... common fixed point theorem with six maps in complex valued metric ...common fixed point theorem for six maps in complex valued metric spaces ... See full document

... In , Edelstein [] proved an important version of the Banach contraction principle. In , Suzuki [] improved the results of Banach and Edelstein (see also [, ]). In re- cent years, cyclic contraction and ... See full document

... The following are nontrivial examples of complete C ∗ -algebra-valued metric space. Example . Let X = L ∞ (E) and H = L  (E), where E is a Lebesgue measurable set. By L(H) we denote the set of bounded ... See full document

... (6) d(F (x, y, z), F(u, v, w)) - α d(x, u) + β d(y, v) + γd(z, w) + δ d(F(x, y, z), u)d(F(u, v, w), x) 1 + d(x, u) + d(y, v) + d(z, w) for all x, y, z, u, v , w ∈ X where α ,β ,γ , δ are non-negative reals with α + β + γ ... 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

... Boriceanu, M, Petrusel, A, Rus, IA: Fixed point theorems for some multivalued generalized contractions in b -metric spaces.. Boriceanu, M, Bota, M, Petrusel, A: Multivalued fractals in b[r] ... See full document