Some unifying results on stability and strong convergence for some new iteration processes.
Spaces whose only finite-sheeted covers are themselves. I.
Spherical maps
Stability and invariance of multivalued iterated function systems
Stability of Jungck-type iterative procedures.
Stability of Noor Iteration for a General Class of Functions in Banach Spaces
In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.
Stable iteration procedures in metric spaces which generalize a Picard-type iteration.
Stationary points for set-valued mappings on two metric spaces.
Strict contractive conditions and common fixed point theorems in cone metric spaces.
Strictly convex metric spaces with round balls and fixed points
The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
Strong convergence and control condition of modified Halpern iterations in Banach spaces.
Strong convergence for accretive operators in Banach spaces.
Strong convergence of a modified implicit iteration process for a finite family of -operators.
Strong convergence of an implicit algorithm in CAT(0) spaces.
Strong convergence of an iterative method for equilibrium problems and variational inequality problems.
Strong convergence of approximation fixed points for nonexpansive nonself-mapping.
Strong convergence of modified Halpern iterations in spaces.
Strong convergence theorems for equilibrium problems and quasi-- asymptotically nonexpansive mappings in Banach spaces.
Subsequential limits of fixed point sets
Suzuki type fuzzy -contractive mappings and fixed points in fuzzy metric spaces
In this paper, we propose the concept of Suzuki type fuzzy -contractive mappings, which is a generalization of Fuzzy -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in -complete as well as -complete fuzzy metric spaces. A comprehensive set of examples...