G. V. N. Kishore
Department of Mathematics, K L University, Vaddeswaram, Guntur-522 502, Andhra Pradesh, India
[ 1 ] - Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces
In this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $S_b$-metric spaces satisfying a contrctive type condition. We furnish an example to support our main theorem. We also give a corollary for Junck type maps.
[ 2 ] - Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces
In this paper, we establish the existence of common coupled fixed point results for new Caristi type contraction of three covariant mappings in Bipolar metric spaces. Some interesting consequences of our results are achieved. Moreover, we give an illustration which presents the applicability of the achieved results.
[ 3 ] - Covarian mappings and coupled fiexd point results in bipolar metric spaces
In this paper, we establish the existence and uniqueness of common coupled xed point results for three covariant mappings in bipolar metric spaces. Moreover, we give an illustration which presents the applicability of the achieved results also we provided applications to homotopy theory as well as integral equations.
[ 4 ] - On new types of contraction mappings in bipolar metric spaces and applications
Our aim is to present some common fixed point theorems in bipolar metric spaces via certain contractive conditions. Some examples have been provided to illustrate the effectiveness of new results. At the end, we give two applications dealing with homotopy theory and integral equations.