Sentence examples for mappings in various from inspiring English sources

Especially, it is considered very natural and curious to investigate the existence and uniqueness of a fixed point for several contraction type mappings in various abstract spaces.

In recent years, several types of iterative schemes have been constructed and proved in order to get strong convergence results for nonexpansive mappings in various settings.

In the literature, several types of iterations have been constructed and proposed in order to get convergence results for nonexpansive mappings in various settings.

As in the previous section, from Theorem 4.3, we can obtain fixed point results for Ćirić's quasicontraction type mappings in various spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.

Combined with numerous convergence results of iteration processes in the literature, the authors were able to derived some contractibility criteria for fixed point sets of mappings in various situations.

Progress in the study on fixed points of non-expansive mappings, contractive mappings in various spaces like a metric space, a Banach space, a fuzzy metric space, a cone metric space etc. has been saturated at large.

Inverse strongly monotone mappings arise in various areas of optimization and nonlinear analysis (see, for example, [32 38]).

Thereafter the concept of commuting mappings has been developed in various directions.

Fixed point theorems for set-valued mappings play a vital role in various fields of pure and applied mathematics.

On the other hand, theory of multivalued mappings has an important role in various branches of mathematics because of its applications in optimal control problems involving integrodifferential inclusions.

In nonlinear functional analysis, the study of fixed points of given mappings satisfying certain contractive conditions in various abstract spaces has been at the center of vigorous research activity in the last decades.