Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces

Kannan-type cyclic contraction results in 2-Menger space

“…Some other results dealing with cyclic contractions and proximity point problems may be found in [22], [39] and [40].…”

Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems

“…Huang and Zhang 7 reintroduced such spaces under the name of cone metric spaces but went further, defining convergent and Cauchy sequences in the terms of interior points of the underlying cone. These and other authors see, e.g., [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] proved some fixed point and common fixed point theorems for contractive-type mappings in cone metric spaces and cone uniform spaces.…”

Coupled best proximity point theorem in metric Spaces

“…Afterward, many authors have derived extensions of Fan's Theorem and the best approximation theorem in many directions such as Prolla [17], Reich [18], Sehgal and Singh [19,20], Wlodarczyk and Plebaniak [21][22][23][24], Vetrivel et al [25], Eldred and Veeramani [26], Mongkolkeha and Kumam [27] and Sadiq Basha and Veeramani [28][29][30][31].…”