Fixed Points of Some Asymptotically Regular Multivalued Mappings Satisfying a Kannan-Type Condition

Some Fixed Point Theorems for Weakly Compatible Multivalued Mappings Satisfying Some General Contractive Conditions of Integral Type

Fixed Points of Asymptotically Regular Nonexpansive Mappings on Nonconvex Sets

It is shown that if X is a Banach space and C is a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets {Ci : 1≤ i≤ n} of X , and each Ci has the fixed-point property (FPP) for asymptotically regular nonexpansive mappings, then any asymptotically regular nonexpansive self-mapping of C has a fixed point. We also generalize the Goebel-Schöneberg theorem to some Banach...

Some Sufficient Conditions for Fixed Points of Multivalued Nonexpansive Mappings

We show some sufficient conditions on a Banach space X concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbagănu constant, the coefficient ε̃0 X , the weakly convergent sequence coefficientWCS X , and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theor...

Some Fixed Point Theorems for Mappings Satisfying a General Multiplicative Contractive Condition of Integral Type

The objective of this manuscript is to study the existence and uniqueness of fixed points for general multiplicative contractive condition of integral type. Our work generalizes and extends some well known results of the literature.

Some Common Fixed Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type

Banach contraction principle is a fundamental result in fixed point theory and has been applied and extended in many different directions. In 2002, Branciari [3] obtained a fixed point theorem for a single mapping satisfying an analogue of Banach’s contraction principle for an integral type inequality. Aliouche [2] established a common fixed point theorem for weakly compatible mappings in symme...