Sentence examples for mappings has been from inspiring English sources

Iterative approximation of fixed points and zeros of nonlinear mappings has been studied extensively by many authors to solve nonlinear mapping equations as well as variational inequality problems and their generalizations (see, e.g., [11 19]).

Further, the section on conformal mappings has been expanded.

The Ulam type stability problem for Euler-Lagrange type additive mappings has been investigated in [17].

A best proximity point theorem for contractive mappings has been presented in [18].

Since then the metric fixed point theory of multi-valued mappings has been rapidly developed.

The concept of convex interval-valued mappings has been studied in the literature by many researchers.

These mappings have been validated by means of a case study.

Lipschitzian mappings have been generalized by various authors.

Asymptotic pointwise nonexpansive mappings have been recently studied in [2 4].

Some other classical fixed point theorems for single-valued mappings have been extended to multivalued mappings.

Analogous coincidence theorems for fuzzy mappings and multivalued mappings have been obtained as corollaries.