Perturbed iterative algorithms for generalized nonlinear set-valued quasivariational inclusions involving generalized -accretive mappings.
Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions.
Positive multiplication preserves dissipativity in commutative -algebras.
Regularization of nonlinear ill-posed equations with accretive operators.
Resolvents and selections of accretive mappings in Banach spaces
Robustness of Mann type algorithm with perturbed mapping for nonexpansive mappings in Banach spaces.
s-coincidence and s-common fixed point theorems for two pairs of set-valued noncompatible mappings in two pairs of set-valued noncompatible mappings in metric space.
Sensitivity analysis for relaxed cocoercive nonlinear quasivariational inclusions.
Smoothness in fractional evolution equations and conservation laws
Some common fixed point theorems for selfmappings in uniform space.
Some new results on accretive multivalued operators
Some properties of monotone type multivalued operators in Banach spaces
Some properties of monotone type multivalued operators including accretive operators and the duality mapping are studied in connection with the structure of Banach spaces.
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 surjectivity theorems with applications
In this paper a new class of mappings, known as locally -strongly -accretive mappings, where and have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly -accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally -strongly -accretive mappings by using Caristi-Kirk fixed point theorem. In the sequel, we introduce the notion...
Some unifying results on stability and strong convergence for some new iteration processes.
Stable iteration schemes for local strongly pseudocontractions and nonlinear equations involving local strongly accretive operators.
Strong convergence for accretive operators in Banach spaces.
Strong convergence of a new iteration for a finite family of accretive operators.
Strong convergence of an iterative method for inverse strongly accretive operators.