Some Coupled fixed point theorems in partially ordered A_b-metric space

Abstract

In this paper, we use the concept of A b -metric space which is obtained by generalizing the definitions of A-metric space and b-metrc space. Using this concept, we prove some coupled fixed point theorems in partially ordered A b -metric space. Examples are also presented to verify the obtained results.

Existence of Solutions via C-Class Functions in Ab-Metric Spaces With Applications

“…Mlaiki et al [2] and K. Ravibabu et al [3], [4] and P. Naresh et al [5] succeeded in deriving unique coupled common fixed point theorems in A b -metric spaces.…”

FIXED POINT THEOREMS OF (α, ψ)-RATIONAL TYPE CONTRACTIVE MAPPINGS IN RECTANGULAR b-METRIC SPACE LANGPOKLAKPAM PREMILA DEVI AND LAISHRAM SHAMBHU SINGH

“…al. [5] For more results on rectangular b-metric space and other generalized forms of metric space one can see research paper s in [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and references therein. Following definitions will be needed in the sequel: Definition 1.4 [5] Let (X, d) be a rectangular b-metric space.…”

Some Fixed Point Results on Complex Valued Sb-Metric Spaces

“…Since then, many authors investigate some fixed-point theorems on the above metric spaces (see [2], [5], [6], [9], [10], [11], [14], [15], [16], [17], [19], [21] and [22] for more details).…”