Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

COMMON FIXED POINT THEOREMS FOR ASYMPTOTIC REGULARITY IN GENERALIZED b-METRIC SPACES

2024-04-22T16:25:17+07:00

In this paper, we introduce the concept of a b-metric-like space, which is an intriguing extension of the b-metric space, and it encompasses certain suﬀicient conditions for the existence of a common fixed point. The discoveries presented here build upon and broaden previous research in this area..

MODIFIED GERAGHTY TYPE VIA SIMULATION FUNCTIONS

2024-04-22T16:36:38+07:00

We explore the Geraghty contraction through a simulation function, eluci- dating certain conditions for the existence and uniqueness of coincidence points for multi- class mappings involving the Geraghty function in metric spaces. The results presented in this work are consistent with those found in existing literature.

THEOREMS OF THE MINIMIZATION PROBLEM AND FIXED POINT PROBLEM OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

2024-04-22T16:43:12+07:00

In this paper, we propose an iterative algorithm designed to address the minimization and fixed point problems associated with total asymptotically nonexpansive mappings in CAT(0) spaces. We establish strong convergence theorems and △-convergence theorems for solving these problems. Furthermore, we apply the key findings to solve the equilibrium problem in CAT(0) spaces.