[PDF] Top 20 Some fixed point theorems using compatible-type mappings in Banach spaces

... metric spaces, for more information on cone metric spaces, we refer to [35, 37, 41, 43] and ...investigate fixed points for some spaces defined by integral norms? For details on such ... See full document

... state some fixed point theorems for mappings of asymptotically nonexpansive type, which are more general than the previous ...a fixed point theorem for a mapping of ... See full document

... This states that a non-expansive self-mapping of bounded, closed and convex subset possessing normal structure in a reflexive Banach space has a fixed point... The interest in this resul[r] ... See full document

... Corollary 2.2. Let X be a Banach space, and let ψ be a regular and set additive measure of weak noncompactness on X. Let C be a nonempty closed convex subset of X. Assume that F : C → C is ws-compact and FC is ... See full document

... 2-Banach spaces and proved the same ...of fixed points and proved fixed point theorems in 2-metric spaces and 2-Banach ...about fixed points for expansive ... See full document

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...proved some interesting fixed point theorems and convergence ... See full document

... dimensional Banach spaces have the Opial property. A Banach space with a duality mapping which is weakly sequentially continuous also has the Opial property ...separable Banach space can be ... See full document

... a Banach space (X, k · k), and let T : K → K be a nonexpansive mapping or a generalized nonexpansive ...a fixed point for T has been investigated, and some fixed point ... See full document

... α-compatible mappings of type (P) in metric space (X, d), which is equivalent to the concept of α-compatible mappings and as well as α-compatible mappings of type ... See full document

... tible mappings and utilized it to improve and generalize the commutativity conditions employed in common fixed point ...non-compatible mappings initiated by Pant ...proved some ... See full document

... arbitrary point in N . Since c N ⊆ e N , choose a point U in N such that c I = e U ...a point in N such that U = f q . Using this argument repeatedly, we construct a sequence { W } in N such ... See full document

... contractive-type mappings is closely related to that in PM-spaces (refer [7, 21, 32, ...of fixed point theorems in PM-spaces to ...corresponding fixed point ... See full document

... Some authors proved many kinds of fixed point theorems for contractive type mappings and non-expansive mappings ([1]-[4]).. Fisher proved some theorems in two complete metric spaces as [r] ... See full document

... the Banach contraction principle has been improved in different directions at different spaces by mathematicians over the ...the Banach contraction principle in the context of complete b-metric ... See full document

... smooth Banach space has a uniformly Gˆateaux differentiable norm and is such that every nonempty closed convex and bounded subset of X has the fixed point property for nonexpansive ...extend ... See full document

... In this section we prove some common fixed point theorems by using seven compatible mappings in complete Menger spaces.. In fact we prove following results..[r] ... See full document

... of compatible maps and compatible maps of type (A) in non-Archimedean Menger probabilistic metric spaces and gave some fixed point theorems for these ...of ... See full document

... proved some common fixed point theorem for compatible mappings of type (P), as application they prove the existence and uniqueness problem of common solution for a class of ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... proved some fixed point theorems in random fuzzy metric spaces for integral type mappings using the concept of faintly compatible pair of ... See full document