[PDF] Top 20 Coincidence and fixed points for compatible and relatively nonexpansive maps

... Non-continuous compatible and relatively nonexpansive maps on star-shaped compact subsets of normed linear spaces are highlighted, and two theorems of Dotson are generalized... KEY WORDS[r] ... See full document

... of compatible maps has proven useful for general- izing results in the context of metric fixed point theory for continuous single-valued and multivalued maps ...single-valued maps has been ... See full document

... random fixed point theory was initiated by the Prague school of proba- bilists in the 1950s [12, 13, ...Random fixed point theorems are stochastic general- ization of classical fixed point ...dom ... See full document

... Random fixed point theorems are of fundamental importance in probabilistic functional ...classical fixed point theorems and are required for the theory of random ...random fixed point theorems for ... See full document

... random fixed point theorem to prove the existence of a solu- tion in a sparable Banach space of a random nonlinear integral ...dom fixed point theorems including a random analogue of the classical results ... See full document

... common fixed-point theorems for noncompatible mappings under strict contractive ...commutative maps as a tool for ...common fixed-point theorems for strict contractive noncompatible mappings in ... See full document

... Self maps A and S of a Menger space (X, F, t) are said to be occasionally weakly compatible (owc) if and only if there is a point x in X which is coincidence point of A and S at which A and S ... See full document

... [15] Compatible maps are weakly compatible but converse is not ...Self maps A and S of a ...weakly compatible (owc) if and only if there is a point x in X which is coincidence ... See full document

... finding fixed points of non-linear maps. Common fixed point theorem com- monly require commutativity, continuity, completeness together with a suitable condition on containment of ranges of ... See full document

... Theorem 1.1 (Liu [30]). Let E be a 2-uniformly convex, uniformly smooth Banach space and C be a nonempty, closed convex subset of E. Assume that A is an operator of C into E ∗ that satisfies the conditions (ii) to (iv) ... See full document

... Sadovskii fixed point theorems to obtain our main results under some appropriate ...of nonexpansive type single valued mappings provides techniques for solving a variety of applied problems in mathematical ... See full document

... Keywords: dislocated quasi metric space; compatible maps; weakly compatible mappings; coincidence points and common fixed point.. Introduction.[r] ... See full document

... where f, g : X ® X are self-mappings and j : [0, ∞ ) ® [0, ∞ ) is a lower semicontinu- ous function from right such that j is positive on (0, ∞ ) and j (0) = 0. If g = f, then T is called f-weakly contractive. If f = I, ... See full document

... multivalued maps. Then, we establish main results on the existence of coincidence points and common fixed points for generalized f-contractive maps not involving the extended Hausdorff ... See full document

... asymptotic nonexpansive selfmap on C has a fixed point. Moreover, this fixed point set is closed and ...a fixed point of an asymptotic pointwise nonexpansive ...the fixed point ... See full document

... multivalued maps in Kohlenbach hyperbolic ...fixed points of two multivalued mappings through -convergence and strong convergence under some weaker ... See full document

... common fixed points of a given countable family of relatively nonex- pansive mappings is identical to the fixed-point set of a single strongly relatively nonexpansive ... See full document

... Sessa [8] generalized the concept of commuting mappings by calling self-mappings A and S of metric space (X,d) a weakly commuting pair if and only if d(ASx,SAx) ≤ d(Ax, Sx) for all x ∈ X. He and others proved some common ... See full document

... common fixed point theorem for mappings satisfying different types of commutativity ...proved fixed point theorems for R-weakly commuting ...common fixed point ...a fixed point but does not ... See full document

... Keywords: Compatible and compatible maps of type A, A- and S-Compatible maps, weakly compatible self-maps and common fixed point.. It is known that Definition 1 and Definition 2 are e[r] ... See full document