Some results on fixed points — IV
Some results on invariant approximation.
Some results on maximal elements.
Some results on multi-valued weakly jungck mappings in b-metric space
In this paper, the concept of multi-valued weak contraction of Berinde and Berinde [8] for the Picard iteration in a complete metric space is extended to the case of multi-valued weak contraction for the Jungck iteration in a complete b-metric space. While our main results generalize the recent results of Berinde and Berinde [8], they also extend, improve and unify several classical results pertainning to single and multi-valued contractive mappings in the fixed point theory. Our results also improve...
Some results on orbital contractions
Some similarity between contractions and Kannan mappings.
Some stability results for Picard iterative process in uniform space.
Some stability results in complete metric space
In this paper, we obtain some stability results for the Picard iteration process for one and two metrics in complete metric space by using different contractive definitions which are more general than those of Berinde [Berinde, V.: On the stability of some fixed point procedures. Bul. Stiint. Univ. Baia Mare, Ser. B, Matematica–Informatica 18, 1 (2002), 7–14.], Imoru and Olatinwo [Imoru, C. O., Olatinwo, M. O.: On the stability of Picard and Mann iteration processes. Carpathian J. Math. 19, 2 (2003),...
Some stability theorems for some iteration processes
In this paper, we obtain some stability results for Picard and Mann iteration processes in metric space and normed linear space respectively, using two different contractive definitions which are more general than those of Harder and Hicks [4], Rhoades [10, 11], Osilike [8], Osilike and Udomene [9], Berinde [1, 2], Imoru and Olatinwo [5] and Imoru et al [6].Our results are generalizations of some results of Harder and Hicks [4], Rhoades [10, 11], Osilike [8], Osilike and Udomene [9], Berinde [1,...
Some theorems about the embeddability of ANR-sets into decomposition spaces of
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.